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Finding the Fourth Proportional to 1,042.62, 1,563.48 and 425.94

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Solution

The fourth proportional to 1,042.62, 1,563.48 and 425.94 is: 638.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.62 : 1,563.48 = 425.94 : x
  2. Step 2: Convert to fraction form
    1,042.62/1,563.48 = 425.94/x
  3. Step 3: Cross multiply
    1,042.62x = 1,563.48 × 425.94
  4. Step 4: Simplify right side
    1,042.62x = 665,948.67
  5. Step 5: Solve for x
    x = 665,948.67/1,042.62
  6. Step 6: Final answer
    x = 638.73

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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.