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Finding the Fourth Proportional to 576.58, 865.44 and 574.42

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Solution

The fourth proportional to 576.58, 865.44 and 574.42 is: 862.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.58 : 865.44 = 574.42 : x
  2. Step 2: Convert to fraction form
    576.58/865.44 = 574.42/x
  3. Step 3: Cross multiply
    576.58x = 865.44 × 574.42
  4. Step 4: Simplify right side
    576.58x = 497,126.04
  5. Step 5: Solve for x
    x = 497,126.04/576.58
  6. Step 6: Final answer
    x = 862.20

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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.