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Finding the Fourth Proportional to 928.38, 1,279.92 and 770.43

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Solution

The fourth proportional to 928.38, 1,279.92 and 770.43 is: 1,062.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.38 : 1,279.92 = 770.43 : x
  2. Step 2: Convert to fraction form
    928.38/1,279.92 = 770.43/x
  3. Step 3: Cross multiply
    928.38x = 1,279.92 × 770.43
  4. Step 4: Simplify right side
    928.38x = 986,088.77
  5. Step 5: Solve for x
    x = 986,088.77/928.38
  6. Step 6: Final answer
    x = 1,062.16

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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.