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Finding the Fourth Proportional to 531.44, 732.47 and 400.22

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Solution

The fourth proportional to 531.44, 732.47 and 400.22 is: 551.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.44 : 732.47 = 400.22 : x
  2. Step 2: Convert to fraction form
    531.44/732.47 = 400.22/x
  3. Step 3: Cross multiply
    531.44x = 732.47 × 400.22
  4. Step 4: Simplify right side
    531.44x = 293,149.14
  5. Step 5: Solve for x
    x = 293,149.14/531.44
  6. Step 6: Final answer
    x = 551.61

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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.