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Finding the Fourth Proportional to 509.77, 703.30 and 323.19

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Solution

The fourth proportional to 509.77, 703.30 and 323.19 is: 445.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.77 : 703.30 = 323.19 : x
  2. Step 2: Convert to fraction form
    509.77/703.30 = 323.19/x
  3. Step 3: Cross multiply
    509.77x = 703.30 × 323.19
  4. Step 4: Simplify right side
    509.77x = 227,299.53
  5. Step 5: Solve for x
    x = 227,299.53/509.77
  6. Step 6: Final answer
    x = 445.89

Related Problems

Find fourth proportional to 254.89, 351.65 and 161.60
Half scale
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Double scale
Find fourth proportional to 510.77, 704.68 and 324.19
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.