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Finding the Fourth Proportional to 591.96, 887.42 and 409.72

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Solution

The fourth proportional to 591.96, 887.42 and 409.72 is: 614.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.96 : 887.42 = 409.72 : x
  2. Step 2: Convert to fraction form
    591.96/887.42 = 409.72/x
  3. Step 3: Cross multiply
    591.96x = 887.42 × 409.72
  4. Step 4: Simplify right side
    591.96x = 363,593.72
  5. Step 5: Solve for x
    x = 363,593.72/591.96
  6. Step 6: Final answer
    x = 614.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.