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Finding the Fourth Proportional to 1,079.73, 1,612.29 and 946.97

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Solution

The fourth proportional to 1,079.73, 1,612.29 and 946.97 is: 1,414.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.73 : 1,612.29 = 946.97 : x
  2. Step 2: Convert to fraction form
    1,079.73/1,612.29 = 946.97/x
  3. Step 3: Cross multiply
    1,079.73x = 1,612.29 × 946.97
  4. Step 4: Simplify right side
    1,079.73x = 1,526,795.54
  5. Step 5: Solve for x
    x = 1,526,795.54/1,079.73
  6. Step 6: Final answer
    x = 1,414.05

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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 (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.