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Finding the Fourth Proportional to 752.38, 1,037.22 and 530.68

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Solution

The fourth proportional to 752.38, 1,037.22 and 530.68 is: 731.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.38 : 1,037.22 = 530.68 : x
  2. Step 2: Convert to fraction form
    752.38/1,037.22 = 530.68/x
  3. Step 3: Cross multiply
    752.38x = 1,037.22 × 530.68
  4. Step 4: Simplify right side
    752.38x = 550,431.91
  5. Step 5: Solve for x
    x = 550,431.91/752.38
  6. Step 6: Final answer
    x = 731.59

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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.