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Finding the Fourth Proportional to 574.98, 862.01 and 392.42

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Solution

The fourth proportional to 574.98, 862.01 and 392.42 is: 588.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.98 : 862.01 = 392.42 : x
  2. Step 2: Convert to fraction form
    574.98/862.01 = 392.42/x
  3. Step 3: Cross multiply
    574.98x = 862.01 × 392.42
  4. Step 4: Simplify right side
    574.98x = 338,271.63
  5. Step 5: Solve for x
    x = 338,271.63/574.98
  6. Step 6: Final answer
    x = 588.32

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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.