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Finding the Fourth Proportional to 1,277.25, 1,761.66 and 772.76

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Solution

The fourth proportional to 1,277.25, 1,761.66 and 772.76 is: 1,065.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.25 : 1,761.66 = 772.76 : x
  2. Step 2: Convert to fraction form
    1,277.25/1,761.66 = 772.76/x
  3. Step 3: Cross multiply
    1,277.25x = 1,761.66 × 772.76
  4. Step 4: Simplify right side
    1,277.25x = 1,361,331.57
  5. Step 5: Solve for x
    x = 1,361,331.57/1,277.25
  6. Step 6: Final answer
    x = 1,065.83

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Half scale
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Double scale
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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.