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Finding the Fourth Proportional to 733.68, 1,012.42 and 402.11

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Solution

The fourth proportional to 733.68, 1,012.42 and 402.11 is: 554.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.68 : 1,012.42 = 402.11 : x
  2. Step 2: Convert to fraction form
    733.68/1,012.42 = 402.11/x
  3. Step 3: Cross multiply
    733.68x = 1,012.42 × 402.11
  4. Step 4: Simplify right side
    733.68x = 407,097.13
  5. Step 5: Solve for x
    x = 407,097.13/733.68
  6. Step 6: Final answer
    x = 554.87

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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.