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Finding the Fourth Proportional to 531.62, 732.12 and 400.40

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Solution

The fourth proportional to 531.62, 732.12 and 400.40 is: 551.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.62 : 732.12 = 400.40 : x
  2. Step 2: Convert to fraction form
    531.62/732.12 = 400.40/x
  3. Step 3: Cross multiply
    531.62x = 732.12 × 400.40
  4. Step 4: Simplify right side
    531.62x = 293,140.85
  5. Step 5: Solve for x
    x = 293,140.85/531.62
  6. Step 6: Final answer
    x = 551.41

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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.