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Finding the Fourth Proportional to 584.57, 875.84 and 487.71

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Solution

The fourth proportional to 584.57, 875.84 and 487.71 is: 730.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.57 : 875.84 = 487.71 : x
  2. Step 2: Convert to fraction form
    584.57/875.84 = 487.71/x
  3. Step 3: Cross multiply
    584.57x = 875.84 × 487.71
  4. Step 4: Simplify right side
    584.57x = 427,153.49
  5. Step 5: Solve for x
    x = 427,153.49/584.57
  6. Step 6: Final answer
    x = 730.72

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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.