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Finding the Fourth Proportional to 709.41, 1,063.29 and 319.61

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Solution

The fourth proportional to 709.41, 1,063.29 and 319.61 is: 479.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.41 : 1,063.29 = 319.61 : x
  2. Step 2: Convert to fraction form
    709.41/1,063.29 = 319.61/x
  3. Step 3: Cross multiply
    709.41x = 1,063.29 × 319.61
  4. Step 4: Simplify right side
    709.41x = 339,841.97
  5. Step 5: Solve for x
    x = 339,841.97/709.41
  6. Step 6: Final answer
    x = 479.05

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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.