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Finding the Fourth Proportional to 1,042.38, 1,561.95 and 847.80

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Solution

The fourth proportional to 1,042.38, 1,561.95 and 847.80 is: 1,270.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.38 : 1,561.95 = 847.80 : x
  2. Step 2: Convert to fraction form
    1,042.38/1,561.95 = 847.80/x
  3. Step 3: Cross multiply
    1,042.38x = 1,561.95 × 847.80
  4. Step 4: Simplify right side
    1,042.38x = 1,324,221.21
  5. Step 5: Solve for x
    x = 1,324,221.21/1,042.38
  6. Step 6: Final answer
    x = 1,270.38

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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.