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Finding the Fourth Proportional to 816.72, 1,126.08 and 711.42

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Solution

The fourth proportional to 816.72, 1,126.08 and 711.42 is: 980.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.72 : 1,126.08 = 711.42 : x
  2. Step 2: Convert to fraction form
    816.72/1,126.08 = 711.42/x
  3. Step 3: Cross multiply
    816.72x = 1,126.08 × 711.42
  4. Step 4: Simplify right side
    816.72x = 801,115.83
  5. Step 5: Solve for x
    x = 801,115.83/816.72
  6. Step 6: Final answer
    x = 980.89

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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.