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Finding the Fourth Proportional to 602.46, 832.07 and 405.63

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Solution

The fourth proportional to 602.46, 832.07 and 405.63 is: 560.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.46 : 832.07 = 405.63 : x
  2. Step 2: Convert to fraction form
    602.46/832.07 = 405.63/x
  3. Step 3: Cross multiply
    602.46x = 832.07 × 405.63
  4. Step 4: Simplify right side
    602.46x = 337,508.39
  5. Step 5: Solve for x
    x = 337,508.39/602.46
  6. Step 6: Final answer
    x = 560.22

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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.