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Finding the Fourth Proportional to 709.82, 1,063.82 and 319.40

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Solution

The fourth proportional to 709.82, 1,063.82 and 319.40 is: 478.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.82 : 1,063.82 = 319.40 : x
  2. Step 2: Convert to fraction form
    709.82/1,063.82 = 319.40/x
  3. Step 3: Cross multiply
    709.82x = 1,063.82 × 319.40
  4. Step 4: Simplify right side
    709.82x = 339,777.19
  5. Step 5: Solve for x
    x = 339,777.19/709.82
  6. Step 6: Final answer
    x = 478.68

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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.