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Finding the Fourth Proportional to 1,146.87, 1,578.57 and 958.23

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Solution

The fourth proportional to 1,146.87, 1,578.57 and 958.23 is: 1,318.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.87 : 1,578.57 = 958.23 : x
  2. Step 2: Convert to fraction form
    1,146.87/1,578.57 = 958.23/x
  3. Step 3: Cross multiply
    1,146.87x = 1,578.57 × 958.23
  4. Step 4: Simplify right side
    1,146.87x = 1,512,633.13
  5. Step 5: Solve for x
    x = 1,512,633.13/1,146.87
  6. Step 6: Final answer
    x = 1,318.92

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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.