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Finding the Fourth Proportional to 1,042.65, 1,561.68 and 857.97

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Solution

The fourth proportional to 1,042.65, 1,561.68 and 857.97 is: 1,285.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.65 : 1,561.68 = 857.97 : x
  2. Step 2: Convert to fraction form
    1,042.65/1,561.68 = 857.97/x
  3. Step 3: Cross multiply
    1,042.65x = 1,561.68 × 857.97
  4. Step 4: Simplify right side
    1,042.65x = 1,339,874.59
  5. Step 5: Solve for x
    x = 1,339,874.59/1,042.65
  6. Step 6: Final answer
    x = 1,285.07

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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.