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Finding the Fourth Proportional to 759.72, 1,048 and 655.24

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Solution

The fourth proportional to 759.72, 1,048 and 655.24 is: 903.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.72 : 1,048 = 655.24 : x
  2. Step 2: Convert to fraction form
    759.72/1,048 = 655.24/x
  3. Step 3: Cross multiply
    759.72x = 1,048 × 655.24
  4. Step 4: Simplify right side
    759.72x = 686,691.52
  5. Step 5: Solve for x
    x = 686,691.52/759.72
  6. Step 6: Final answer
    x = 903.87

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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.