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Finding the Fourth Proportional to 1,004.03, 1,386.41 and 754.91

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Solution

The fourth proportional to 1,004.03, 1,386.41 and 754.91 is: 1,042.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.03 : 1,386.41 = 754.91 : x
  2. Step 2: Convert to fraction form
    1,004.03/1,386.41 = 754.91/x
  3. Step 3: Cross multiply
    1,004.03x = 1,386.41 × 754.91
  4. Step 4: Simplify right side
    1,004.03x = 1,046,614.46
  5. Step 5: Solve for x
    x = 1,046,614.46/1,004.03
  6. Step 6: Final answer
    x = 1,042.42

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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.