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Finding the Fourth Proportional to 587.59, 878.95 and 534.13

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Solution

The fourth proportional to 587.59, 878.95 and 534.13 is: 798.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.59 : 878.95 = 534.13 : x
  2. Step 2: Convert to fraction form
    587.59/878.95 = 534.13/x
  3. Step 3: Cross multiply
    587.59x = 878.95 × 534.13
  4. Step 4: Simplify right side
    587.59x = 469,472.03
  5. Step 5: Solve for x
    x = 469,472.03/587.59
  6. Step 6: Final answer
    x = 798.98

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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.