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Finding the Fourth Proportional to 1,042.52, 1,563.57 and 457.70

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Solution

The fourth proportional to 1,042.52, 1,563.57 and 457.70 is: 686.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.52 : 1,563.57 = 457.70 : x
  2. Step 2: Convert to fraction form
    1,042.52/1,563.57 = 457.70/x
  3. Step 3: Cross multiply
    1,042.52x = 1,563.57 × 457.70
  4. Step 4: Simplify right side
    1,042.52x = 715,638.17
  5. Step 5: Solve for x
    x = 715,638.17/1,042.52
  6. Step 6: Final answer
    x = 686.45

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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.