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Finding the Fourth Proportional to 1,042.70, 1,564.43 and 487.91

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Solution

The fourth proportional to 1,042.70, 1,564.43 and 487.91 is: 732.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.70 : 1,564.43 = 487.91 : x
  2. Step 2: Convert to fraction form
    1,042.70/1,564.43 = 487.91/x
  3. Step 3: Cross multiply
    1,042.70x = 1,564.43 × 487.91
  4. Step 4: Simplify right side
    1,042.70x = 763,290.78
  5. Step 5: Solve for x
    x = 763,290.78/1,042.70
  6. Step 6: Final answer
    x = 732.03

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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.