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Finding the Fourth Proportional to 740.80, 1,110.42 and 702.35

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Solution

The fourth proportional to 740.80, 1,110.42 and 702.35 is: 1,052.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.80 : 1,110.42 = 702.35 : x
  2. Step 2: Convert to fraction form
    740.80/1,110.42 = 702.35/x
  3. Step 3: Cross multiply
    740.80x = 1,110.42 × 702.35
  4. Step 4: Simplify right side
    740.80x = 779,902.10
  5. Step 5: Solve for x
    x = 779,902.10/740.80
  6. Step 6: Final answer
    x = 1,052.78

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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.