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Finding the Fourth Proportional to 937.68, 1,294.44 and 911.76

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Solution

The fourth proportional to 937.68, 1,294.44 and 911.76 is: 1,258.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.68 : 1,294.44 = 911.76 : x
  2. Step 2: Convert to fraction form
    937.68/1,294.44 = 911.76/x
  3. Step 3: Cross multiply
    937.68x = 1,294.44 × 911.76
  4. Step 4: Simplify right side
    937.68x = 1,180,218.61
  5. Step 5: Solve for x
    x = 1,180,218.61/937.68
  6. Step 6: Final answer
    x = 1,258.66

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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.