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Finding the Fourth Proportional to 702.91, 1,049.25 and 645.13

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Solution

The fourth proportional to 702.91, 1,049.25 and 645.13 is: 963.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.91 : 1,049.25 = 645.13 : x
  2. Step 2: Convert to fraction form
    702.91/1,049.25 = 645.13/x
  3. Step 3: Cross multiply
    702.91x = 1,049.25 × 645.13
  4. Step 4: Simplify right side
    702.91x = 676,902.65
  5. Step 5: Solve for x
    x = 676,902.65/702.91
  6. Step 6: Final answer
    x = 963.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.