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Finding the Fourth Proportional to 709.11, 1,063.80 and 319.23

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Solution

The fourth proportional to 709.11, 1,063.80 and 319.23 is: 478.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.11 : 1,063.80 = 319.23 : x
  2. Step 2: Convert to fraction form
    709.11/1,063.80 = 319.23/x
  3. Step 3: Cross multiply
    709.11x = 1,063.80 × 319.23
  4. Step 4: Simplify right side
    709.11x = 339,596.87
  5. Step 5: Solve for x
    x = 339,596.87/709.11
  6. Step 6: Final answer
    x = 478.91

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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.