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Finding the Fourth Proportional to 983.76, 1,358.07 and 634.65

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Solution

The fourth proportional to 983.76, 1,358.07 and 634.65 is: 876.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.76 : 1,358.07 = 634.65 : x
  2. Step 2: Convert to fraction form
    983.76/1,358.07 = 634.65/x
  3. Step 3: Cross multiply
    983.76x = 1,358.07 × 634.65
  4. Step 4: Simplify right side
    983.76x = 861,899.13
  5. Step 5: Solve for x
    x = 861,899.13/983.76
  6. Step 6: Final answer
    x = 876.13

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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.