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Finding the Fourth Proportional to 1,150.87, 1,587.18 and 954.04

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Solution

The fourth proportional to 1,150.87, 1,587.18 and 954.04 is: 1,315.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.87 : 1,587.18 = 954.04 : x
  2. Step 2: Convert to fraction form
    1,150.87/1,587.18 = 954.04/x
  3. Step 3: Cross multiply
    1,150.87x = 1,587.18 × 954.04
  4. Step 4: Simplify right side
    1,150.87x = 1,514,233.21
  5. Step 5: Solve for x
    x = 1,514,233.21/1,150.87
  6. Step 6: Final answer
    x = 1,315.73

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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.