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Finding the Fourth Proportional to 1,146.91, 1,585.07 and 867.05

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Solution

The fourth proportional to 1,146.91, 1,585.07 and 867.05 is: 1,198.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.91 : 1,585.07 = 867.05 : x
  2. Step 2: Convert to fraction form
    1,146.91/1,585.07 = 867.05/x
  3. Step 3: Cross multiply
    1,146.91x = 1,585.07 × 867.05
  4. Step 4: Simplify right side
    1,146.91x = 1,374,340.79
  5. Step 5: Solve for x
    x = 1,374,340.79/1,146.91
  6. Step 6: Final answer
    x = 1,198.30

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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.