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Finding the Fourth Proportional to 747.97, 1,115.36 and 696.03

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Solution

The fourth proportional to 747.97, 1,115.36 and 696.03 is: 1,037.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.97 : 1,115.36 = 696.03 : x
  2. Step 2: Convert to fraction form
    747.97/1,115.36 = 696.03/x
  3. Step 3: Cross multiply
    747.97x = 1,115.36 × 696.03
  4. Step 4: Simplify right side
    747.97x = 776,320.93
  5. Step 5: Solve for x
    x = 776,320.93/747.97
  6. Step 6: Final answer
    x = 1,037.91

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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.