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Finding the Fourth Proportional to 560.42, 773.25 and 327.62

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Solution

The fourth proportional to 560.42, 773.25 and 327.62 is: 452.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.42 : 773.25 = 327.62 : x
  2. Step 2: Convert to fraction form
    560.42/773.25 = 327.62/x
  3. Step 3: Cross multiply
    560.42x = 773.25 × 327.62
  4. Step 4: Simplify right side
    560.42x = 253,332.17
  5. Step 5: Solve for x
    x = 253,332.17/560.42
  6. Step 6: Final answer
    x = 452.04

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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.