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Finding the Fourth Proportional to 593.18, 887.72 and 409.79

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Solution

The fourth proportional to 593.18, 887.72 and 409.79 is: 613.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.18 : 887.72 = 409.79 : x
  2. Step 2: Convert to fraction form
    593.18/887.72 = 409.79/x
  3. Step 3: Cross multiply
    593.18x = 887.72 × 409.79
  4. Step 4: Simplify right side
    593.18x = 363,778.95
  5. Step 5: Solve for x
    x = 363,778.95/593.18
  6. Step 6: Final answer
    x = 613.27

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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.