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Finding the Fourth Proportional to 874.76, 1,206.45 and 769.62

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Solution

The fourth proportional to 874.76, 1,206.45 and 769.62 is: 1,061.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.76 : 1,206.45 = 769.62 : x
  2. Step 2: Convert to fraction form
    874.76/1,206.45 = 769.62/x
  3. Step 3: Cross multiply
    874.76x = 1,206.45 × 769.62
  4. Step 4: Simplify right side
    874.76x = 928,508.05
  5. Step 5: Solve for x
    x = 928,508.05/874.76
  6. Step 6: Final answer
    x = 1,061.45

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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.