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Finding the Fourth Proportional to 1,004.76, 1,387.68 and 991.11

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Solution

The fourth proportional to 1,004.76, 1,387.68 and 991.11 is: 1,368.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.76 : 1,387.68 = 991.11 : x
  2. Step 2: Convert to fraction form
    1,004.76/1,387.68 = 991.11/x
  3. Step 3: Cross multiply
    1,004.76x = 1,387.68 × 991.11
  4. Step 4: Simplify right side
    1,004.76x = 1,375,343.52
  5. Step 5: Solve for x
    x = 1,375,343.52/1,004.76
  6. Step 6: Final answer
    x = 1,368.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.