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Finding the Fourth Proportional to 1,411.57, 2,117.98 and 487.78

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Solution

The fourth proportional to 1,411.57, 2,117.98 and 487.78 is: 731.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.57 : 2,117.98 = 487.78 : x
  2. Step 2: Convert to fraction form
    1,411.57/2,117.98 = 487.78/x
  3. Step 3: Cross multiply
    1,411.57x = 2,117.98 × 487.78
  4. Step 4: Simplify right side
    1,411.57x = 1,033,101.77
  5. Step 5: Solve for x
    x = 1,033,101.77/1,411.57
  6. Step 6: Final answer
    x = 731.88

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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.