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Finding the Fourth Proportional to 1,037.97, 1,431.90 and 757.74

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Solution

The fourth proportional to 1,037.97, 1,431.90 and 757.74 is: 1,045.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.97 : 1,431.90 = 757.74 : x
  2. Step 2: Convert to fraction form
    1,037.97/1,431.90 = 757.74/x
  3. Step 3: Cross multiply
    1,037.97x = 1,431.90 × 757.74
  4. Step 4: Simplify right side
    1,037.97x = 1,085,007.91
  5. Step 5: Solve for x
    x = 1,085,007.91/1,037.97
  6. Step 6: Final answer
    x = 1,045.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.