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Finding the Fourth Proportional to 1,531.25, 2,297.45 and 872.72

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Solution

The fourth proportional to 1,531.25, 2,297.45 and 872.72 is: 1,309.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.25 : 2,297.45 = 872.72 : x
  2. Step 2: Convert to fraction form
    1,531.25/2,297.45 = 872.72/x
  3. Step 3: Cross multiply
    1,531.25x = 2,297.45 × 872.72
  4. Step 4: Simplify right side
    1,531.25x = 2,005,035.22
  5. Step 5: Solve for x
    x = 2,005,035.22/1,531.25
  6. Step 6: Final answer
    x = 1,309.41

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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.