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Finding the Fourth Proportional to 788.92, 1,175.57 and 702.76

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Solution

The fourth proportional to 788.92, 1,175.57 and 702.76 is: 1,047.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.92 : 1,175.57 = 702.76 : x
  2. Step 2: Convert to fraction form
    788.92/1,175.57 = 702.76/x
  3. Step 3: Cross multiply
    788.92x = 1,175.57 × 702.76
  4. Step 4: Simplify right side
    788.92x = 826,143.57
  5. Step 5: Solve for x
    x = 826,143.57/788.92
  6. Step 6: Final answer
    x = 1,047.18

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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.