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Finding the Fourth Proportional to 944.16, 1,302.84 and 769.20

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Solution

The fourth proportional to 944.16, 1,302.84 and 769.20 is: 1,061.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.16 : 1,302.84 = 769.20 : x
  2. Step 2: Convert to fraction form
    944.16/1,302.84 = 769.20/x
  3. Step 3: Cross multiply
    944.16x = 1,302.84 × 769.20
  4. Step 4: Simplify right side
    944.16x = 1,002,144.53
  5. Step 5: Solve for x
    x = 1,002,144.53/944.16
  6. Step 6: Final answer
    x = 1,061.41

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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.