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Finding the Fourth Proportional to 1,411.97, 2,117.43 and 487.27

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Solution

The fourth proportional to 1,411.97, 2,117.43 and 487.27 is: 730.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.97 : 2,117.43 = 487.27 : x
  2. Step 2: Convert to fraction form
    1,411.97/2,117.43 = 487.27/x
  3. Step 3: Cross multiply
    1,411.97x = 2,117.43 × 487.27
  4. Step 4: Simplify right side
    1,411.97x = 1,031,760.12
  5. Step 5: Solve for x
    x = 1,031,760.12/1,411.97
  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.