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Finding the Fourth Proportional to 602.31, 831.08 and 353.64

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Solution

The fourth proportional to 602.31, 831.08 and 353.64 is: 487.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.31 : 831.08 = 353.64 : x
  2. Step 2: Convert to fraction form
    602.31/831.08 = 353.64/x
  3. Step 3: Cross multiply
    602.31x = 831.08 × 353.64
  4. Step 4: Simplify right side
    602.31x = 293,899.29
  5. Step 5: Solve for x
    x = 293,899.29/602.31
  6. Step 6: Final answer
    x = 487.96

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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.