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Finding the Fourth Proportional to 602.96, 832.76 and 406.13

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Solution

The fourth proportional to 602.96, 832.76 and 406.13 is: 560.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.96 : 832.76 = 406.13 : x
  2. Step 2: Convert to fraction form
    602.96/832.76 = 406.13/x
  3. Step 3: Cross multiply
    602.96x = 832.76 × 406.13
  4. Step 4: Simplify right side
    602.96x = 338,204.66
  5. Step 5: Solve for x
    x = 338,204.66/602.96
  6. Step 6: Final answer
    x = 560.91

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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.