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Finding the Fourth Proportional to 916.13, 1,370.75 and 642.75

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Solution

The fourth proportional to 916.13, 1,370.75 and 642.75 is: 961.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.13 : 1,370.75 = 642.75 : x
  2. Step 2: Convert to fraction form
    916.13/1,370.75 = 642.75/x
  3. Step 3: Cross multiply
    916.13x = 1,370.75 × 642.75
  4. Step 4: Simplify right side
    916.13x = 881,046.35
  5. Step 5: Solve for x
    x = 881,046.35/916.13
  6. Step 6: Final answer
    x = 961.71

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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.