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Finding the Fourth Proportional to 1,582.27, 2,375.08 and 889.53

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Solution

The fourth proportional to 1,582.27, 2,375.08 and 889.53 is: 1,335.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.27 : 2,375.08 = 889.53 : x
  2. Step 2: Convert to fraction form
    1,582.27/2,375.08 = 889.53/x
  3. Step 3: Cross multiply
    1,582.27x = 2,375.08 × 889.53
  4. Step 4: Simplify right side
    1,582.27x = 2,112,704.91
  5. Step 5: Solve for x
    x = 2,112,704.91/1,582.27
  6. Step 6: Final answer
    x = 1,335.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.