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Finding the Fourth Proportional to 574.24, 781.85 and 572.42

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Solution

The fourth proportional to 574.24, 781.85 and 572.42 is: 779.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.24 : 781.85 = 572.42 : x
  2. Step 2: Convert to fraction form
    574.24/781.85 = 572.42/x
  3. Step 3: Cross multiply
    574.24x = 781.85 × 572.42
  4. Step 4: Simplify right side
    574.24x = 447,539.81
  5. Step 5: Solve for x
    x = 447,539.81/574.24
  6. Step 6: Final answer
    x = 779.37

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.