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Finding the Fourth Proportional to 709.26, 1,061.19 and 426.77

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Solution

The fourth proportional to 709.26, 1,061.19 and 426.77 is: 638.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.26 : 1,061.19 = 426.77 : x
  2. Step 2: Convert to fraction form
    709.26/1,061.19 = 426.77/x
  3. Step 3: Cross multiply
    709.26x = 1,061.19 × 426.77
  4. Step 4: Simplify right side
    709.26x = 452,878.75
  5. Step 5: Solve for x
    x = 452,878.75/709.26
  6. Step 6: Final answer
    x = 638.52

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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.