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Finding the Fourth Proportional to 702.46, 1,053.89 and 580.15

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Solution

The fourth proportional to 702.46, 1,053.89 and 580.15 is: 870.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.46 : 1,053.89 = 580.15 : x
  2. Step 2: Convert to fraction form
    702.46/1,053.89 = 580.15/x
  3. Step 3: Cross multiply
    702.46x = 1,053.89 × 580.15
  4. Step 4: Simplify right side
    702.46x = 611,414.28
  5. Step 5: Solve for x
    x = 611,414.28/702.46
  6. Step 6: Final answer
    x = 870.39

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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.