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Finding the Fourth Proportional to 709.92, 980.40 and 513.96

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Solution

The fourth proportional to 709.92, 980.40 and 513.96 is: 709.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.92 : 980.40 = 513.96 : x
  2. Step 2: Convert to fraction form
    709.92/980.40 = 513.96/x
  3. Step 3: Cross multiply
    709.92x = 980.40 × 513.96
  4. Step 4: Simplify right side
    709.92x = 503,886.38
  5. Step 5: Solve for x
    x = 503,886.38/709.92
  6. Step 6: Final answer
    x = 709.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.