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Finding the Fourth Proportional to 1,213.94, 1,821.18 and 348.19

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Solution

The fourth proportional to 1,213.94, 1,821.18 and 348.19 is: 522.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.94 : 1,821.18 = 348.19 : x
  2. Step 2: Convert to fraction form
    1,213.94/1,821.18 = 348.19/x
  3. Step 3: Cross multiply
    1,213.94x = 1,821.18 × 348.19
  4. Step 4: Simplify right side
    1,213.94x = 634,113.42
  5. Step 5: Solve for x
    x = 634,113.42/1,213.94
  6. Step 6: Final answer
    x = 522.36

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Half scale
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Double scale
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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.