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Finding the Fourth Proportional to 1,049.12, 1,572.84 and 702.80

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Solution

The fourth proportional to 1,049.12, 1,572.84 and 702.80 is: 1,053.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.12 : 1,572.84 = 702.80 : x
  2. Step 2: Convert to fraction form
    1,049.12/1,572.84 = 702.80/x
  3. Step 3: Cross multiply
    1,049.12x = 1,572.84 × 702.80
  4. Step 4: Simplify right side
    1,049.12x = 1,105,391.95
  5. Step 5: Solve for x
    x = 1,105,391.95/1,049.12
  6. Step 6: Final answer
    x = 1,053.64

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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.