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Finding the Fourth Proportional to 1,037.15, 1,431.84 and 757.10

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Solution

The fourth proportional to 1,037.15, 1,431.84 and 757.10 is: 1,045.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.15 : 1,431.84 = 757.10 : x
  2. Step 2: Convert to fraction form
    1,037.15/1,431.84 = 757.10/x
  3. Step 3: Cross multiply
    1,037.15x = 1,431.84 × 757.10
  4. Step 4: Simplify right side
    1,037.15x = 1,084,046.06
  5. Step 5: Solve for x
    x = 1,084,046.06/1,037.15
  6. Step 6: Final answer
    x = 1,045.22

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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.