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Finding the Fourth Proportional to 1,127.59, 1,689.14 and 882.97

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Solution

The fourth proportional to 1,127.59, 1,689.14 and 882.97 is: 1,322.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.59 : 1,689.14 = 882.97 : x
  2. Step 2: Convert to fraction form
    1,127.59/1,689.14 = 882.97/x
  3. Step 3: Cross multiply
    1,127.59x = 1,689.14 × 882.97
  4. Step 4: Simplify right side
    1,127.59x = 1,491,457.93
  5. Step 5: Solve for x
    x = 1,491,457.93/1,127.59
  6. Step 6: Final answer
    x = 1,322.70

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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.