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Finding the Fourth Proportional to 961.48, 1,318.68 and 921.79

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Solution

The fourth proportional to 961.48, 1,318.68 and 921.79 is: 1,264.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.48 : 1,318.68 = 921.79 : x
  2. Step 2: Convert to fraction form
    961.48/1,318.68 = 921.79/x
  3. Step 3: Cross multiply
    961.48x = 1,318.68 × 921.79
  4. Step 4: Simplify right side
    961.48x = 1,215,543.73
  5. Step 5: Solve for x
    x = 1,215,543.73/961.48
  6. Step 6: Final answer
    x = 1,264.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.