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Finding the Fourth Proportional to 1,446.39, 2,168.51 and 752.13

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Solution

The fourth proportional to 1,446.39, 2,168.51 and 752.13 is: 1,127.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.39 : 2,168.51 = 752.13 : x
  2. Step 2: Convert to fraction form
    1,446.39/2,168.51 = 752.13/x
  3. Step 3: Cross multiply
    1,446.39x = 2,168.51 × 752.13
  4. Step 4: Simplify right side
    1,446.39x = 1,630,997.67
  5. Step 5: Solve for x
    x = 1,630,997.67/1,446.39
  6. Step 6: Final answer
    x = 1,127.63

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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.