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Finding the Fourth Proportional to 927.39, 1,278.59 and 770.16

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Solution

The fourth proportional to 927.39, 1,278.59 and 770.16 is: 1,061.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.39 : 1,278.59 = 770.16 : x
  2. Step 2: Convert to fraction form
    927.39/1,278.59 = 770.16/x
  3. Step 3: Cross multiply
    927.39x = 1,278.59 × 770.16
  4. Step 4: Simplify right side
    927.39x = 984,715.02
  5. Step 5: Solve for x
    x = 984,715.02/927.39
  6. Step 6: Final answer
    x = 1,061.81

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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.