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Finding the Fourth Proportional to 768.80, 1,152.12 and 576.20

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Solution

The fourth proportional to 768.80, 1,152.12 and 576.20 is: 863.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.80 : 1,152.12 = 576.20 : x
  2. Step 2: Convert to fraction form
    768.80/1,152.12 = 576.20/x
  3. Step 3: Cross multiply
    768.80x = 1,152.12 × 576.20
  4. Step 4: Simplify right side
    768.80x = 663,851.54
  5. Step 5: Solve for x
    x = 663,851.54/768.80
  6. Step 6: Final answer
    x = 863.49

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.