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Finding the Fourth Proportional to 531.44, 732.86 and 405.73

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Solution

The fourth proportional to 531.44, 732.86 and 405.73 is: 559.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.44 : 732.86 = 405.73 : x
  2. Step 2: Convert to fraction form
    531.44/732.86 = 405.73/x
  3. Step 3: Cross multiply
    531.44x = 732.86 × 405.73
  4. Step 4: Simplify right side
    531.44x = 297,343.29
  5. Step 5: Solve for x
    x = 297,343.29/531.44
  6. Step 6: Final answer
    x = 559.50

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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.