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Finding the Fourth Proportional to 1,004.83, 1,387.49 and 689.97

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Solution

The fourth proportional to 1,004.83, 1,387.49 and 689.97 is: 952.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.83 : 1,387.49 = 689.97 : x
  2. Step 2: Convert to fraction form
    1,004.83/1,387.49 = 689.97/x
  3. Step 3: Cross multiply
    1,004.83x = 1,387.49 × 689.97
  4. Step 4: Simplify right side
    1,004.83x = 957,326.48
  5. Step 5: Solve for x
    x = 957,326.48/1,004.83
  6. Step 6: Final answer
    x = 952.72

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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.