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Finding the Fourth Proportional to 574.29, 865.08 and 559.71

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Solution

The fourth proportional to 574.29, 865.08 and 559.71 is: 843.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.29 : 865.08 = 559.71 : x
  2. Step 2: Convert to fraction form
    574.29/865.08 = 559.71/x
  3. Step 3: Cross multiply
    574.29x = 865.08 × 559.71
  4. Step 4: Simplify right side
    574.29x = 484,193.93
  5. Step 5: Solve for x
    x = 484,193.93/574.29
  6. Step 6: Final answer
    x = 843.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.