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Finding the Fourth Proportional to 1,078.46, 1,617.95 and 769.55

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Solution

The fourth proportional to 1,078.46, 1,617.95 and 769.55 is: 1,154.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.46 : 1,617.95 = 769.55 : x
  2. Step 2: Convert to fraction form
    1,078.46/1,617.95 = 769.55/x
  3. Step 3: Cross multiply
    1,078.46x = 1,617.95 × 769.55
  4. Step 4: Simplify right side
    1,078.46x = 1,245,081.49
  5. Step 5: Solve for x
    x = 1,245,081.49/1,078.46
  6. Step 6: Final answer
    x = 1,154.50

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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.