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Finding the Fourth Proportional to 587.52, 876.24 and 577.80

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Solution

The fourth proportional to 587.52, 876.24 and 577.80 is: 861.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.52 : 876.24 = 577.80 : x
  2. Step 2: Convert to fraction form
    587.52/876.24 = 577.80/x
  3. Step 3: Cross multiply
    587.52x = 876.24 × 577.80
  4. Step 4: Simplify right side
    587.52x = 506,291.47
  5. Step 5: Solve for x
    x = 506,291.47/587.52
  6. Step 6: Final answer
    x = 861.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.