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Finding the Fourth Proportional to 769.54, 1,158.46 and 702.58

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Solution

The fourth proportional to 769.54, 1,158.46 and 702.58 is: 1,057.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.54 : 1,158.46 = 702.58 : x
  2. Step 2: Convert to fraction form
    769.54/1,158.46 = 702.58/x
  3. Step 3: Cross multiply
    769.54x = 1,158.46 × 702.58
  4. Step 4: Simplify right side
    769.54x = 813,905.03
  5. Step 5: Solve for x
    x = 813,905.03/769.54
  6. Step 6: Final answer
    x = 1,057.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.