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Finding the Fourth Proportional to 1,146.92, 1,726.55 and 979.88

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Solution

The fourth proportional to 1,146.92, 1,726.55 and 979.88 is: 1,475.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.92 : 1,726.55 = 979.88 : x
  2. Step 2: Convert to fraction form
    1,146.92/1,726.55 = 979.88/x
  3. Step 3: Cross multiply
    1,146.92x = 1,726.55 × 979.88
  4. Step 4: Simplify right side
    1,146.92x = 1,691,811.81
  5. Step 5: Solve for x
    x = 1,691,811.81/1,146.92
  6. Step 6: Final answer
    x = 1,475.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.