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Finding the Fourth Proportional to 711.15, 980.96 and 500.96

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Solution

The fourth proportional to 711.15, 980.96 and 500.96 is: 691.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.15 : 980.96 = 500.96 : x
  2. Step 2: Convert to fraction form
    711.15/980.96 = 500.96/x
  3. Step 3: Cross multiply
    711.15x = 980.96 × 500.96
  4. Step 4: Simplify right side
    711.15x = 491,414.31
  5. Step 5: Solve for x
    x = 491,414.31/711.15
  6. Step 6: Final answer
    x = 691.01

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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.