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Finding the Fourth Proportional to 775.16, 1,067.78 and 662.76

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Solution

The fourth proportional to 775.16, 1,067.78 and 662.76 is: 912.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.16 : 1,067.78 = 662.76 : x
  2. Step 2: Convert to fraction form
    775.16/1,067.78 = 662.76/x
  3. Step 3: Cross multiply
    775.16x = 1,067.78 × 662.76
  4. Step 4: Simplify right side
    775.16x = 707,681.87
  5. Step 5: Solve for x
    x = 707,681.87/775.16
  6. Step 6: Final answer
    x = 912.95

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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.