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Finding the Fourth Proportional to 1,042.47, 1,561.91 and 548.14

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Solution

The fourth proportional to 1,042.47, 1,561.91 and 548.14 is: 821.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.47 : 1,561.91 = 548.14 : x
  2. Step 2: Convert to fraction form
    1,042.47/1,561.91 = 548.14/x
  3. Step 3: Cross multiply
    1,042.47x = 1,561.91 × 548.14
  4. Step 4: Simplify right side
    1,042.47x = 856,147.57
  5. Step 5: Solve for x
    x = 856,147.57/1,042.47
  6. Step 6: Final answer
    x = 821.27

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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.