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Finding the Fourth Proportional to 971.72, 1,337.69 and 878.18

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Solution

The fourth proportional to 971.72, 1,337.69 and 878.18 is: 1,208.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.72 : 1,337.69 = 878.18 : x
  2. Step 2: Convert to fraction form
    971.72/1,337.69 = 878.18/x
  3. Step 3: Cross multiply
    971.72x = 1,337.69 × 878.18
  4. Step 4: Simplify right side
    971.72x = 1,174,732.60
  5. Step 5: Solve for x
    x = 1,174,732.60/971.72
  6. Step 6: Final answer
    x = 1,208.92

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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.