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Finding the Fourth Proportional to 602.52, 832.16 and 405.69

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Solution

The fourth proportional to 602.52, 832.16 and 405.69 is: 560.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.52 : 832.16 = 405.69 : x
  2. Step 2: Convert to fraction form
    602.52/832.16 = 405.69/x
  3. Step 3: Cross multiply
    602.52x = 832.16 × 405.69
  4. Step 4: Simplify right side
    602.52x = 337,592.80
  5. Step 5: Solve for x
    x = 337,592.80/602.52
  6. Step 6: Final answer
    x = 560.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.