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Finding the Fourth Proportional to 971.11, 1,337.07 and 823.42

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Solution

The fourth proportional to 971.11, 1,337.07 and 823.42 is: 1,133.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.11 : 1,337.07 = 823.42 : x
  2. Step 2: Convert to fraction form
    971.11/1,337.07 = 823.42/x
  3. Step 3: Cross multiply
    971.11x = 1,337.07 × 823.42
  4. Step 4: Simplify right side
    971.11x = 1,100,970.18
  5. Step 5: Solve for x
    x = 1,100,970.18/971.11
  6. Step 6: Final answer
    x = 1,133.72

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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.