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Finding the Fourth Proportional to 967.15, 1,456.03 and 660.97

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Solution

The fourth proportional to 967.15, 1,456.03 and 660.97 is: 995.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.15 : 1,456.03 = 660.97 : x
  2. Step 2: Convert to fraction form
    967.15/1,456.03 = 660.97/x
  3. Step 3: Cross multiply
    967.15x = 1,456.03 × 660.97
  4. Step 4: Simplify right side
    967.15x = 962,386.86
  5. Step 5: Solve for x
    x = 962,386.86/967.15
  6. Step 6: Final answer
    x = 995.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.