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Finding the Fourth Proportional to 769.38, 1,061.84 and 454.77

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Solution

The fourth proportional to 769.38, 1,061.84 and 454.77 is: 627.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.38 : 1,061.84 = 454.77 : x
  2. Step 2: Convert to fraction form
    769.38/1,061.84 = 454.77/x
  3. Step 3: Cross multiply
    769.38x = 1,061.84 × 454.77
  4. Step 4: Simplify right side
    769.38x = 482,890.70
  5. Step 5: Solve for x
    x = 482,890.70/769.38
  6. Step 6: Final answer
    x = 627.64

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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.