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Finding the Fourth Proportional to 1,213.02, 1,819.13 and 391.10

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Solution

The fourth proportional to 1,213.02, 1,819.13 and 391.10 is: 586.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.02 : 1,819.13 = 391.10 : x
  2. Step 2: Convert to fraction form
    1,213.02/1,819.13 = 391.10/x
  3. Step 3: Cross multiply
    1,213.02x = 1,819.13 × 391.10
  4. Step 4: Simplify right side
    1,213.02x = 711,450.69
  5. Step 5: Solve for x
    x = 711,450.69/1,213.02
  6. Step 6: Final answer
    x = 586.51

Related Problems

Find fourth proportional to 606.51, 909.56 and 195.55
Half scale
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Double scale
Find fourth proportional to 1,214.02, 1,820.62 and 392.10
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.