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Finding the Fourth Proportional to 574.59, 862.29 and 412.41

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Solution

The fourth proportional to 574.59, 862.29 and 412.41 is: 618.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.59 : 862.29 = 412.41 : x
  2. Step 2: Convert to fraction form
    574.59/862.29 = 412.41/x
  3. Step 3: Cross multiply
    574.59x = 862.29 × 412.41
  4. Step 4: Simplify right side
    574.59x = 355,617.02
  5. Step 5: Solve for x
    x = 355,617.02/574.59
  6. Step 6: Final answer
    x = 618.91

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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.