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Finding the Fourth Proportional to 759.29, 1,139.10 and 246.25

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Solution

The fourth proportional to 759.29, 1,139.10 and 246.25 is: 369.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.29 : 1,139.10 = 246.25 : x
  2. Step 2: Convert to fraction form
    759.29/1,139.10 = 246.25/x
  3. Step 3: Cross multiply
    759.29x = 1,139.10 × 246.25
  4. Step 4: Simplify right side
    759.29x = 280,502.14
  5. Step 5: Solve for x
    x = 280,502.14/759.29
  6. Step 6: Final answer
    x = 369.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.