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Finding the Fourth Proportional to 927.44, 1,278.06 and 691.66

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Solution

The fourth proportional to 927.44, 1,278.06 and 691.66 is: 953.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.44 : 1,278.06 = 691.66 : x
  2. Step 2: Convert to fraction form
    927.44/1,278.06 = 691.66/x
  3. Step 3: Cross multiply
    927.44x = 1,278.06 × 691.66
  4. Step 4: Simplify right side
    927.44x = 883,976.59
  5. Step 5: Solve for x
    x = 883,976.59/927.44
  6. Step 6: Final answer
    x = 953.14

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1.5x scale

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.