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Finding the Fourth Proportional to 967.51, 1,451.97 and 748.68

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Solution

The fourth proportional to 967.51, 1,451.97 and 748.68 is: 1,123.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.51 : 1,451.97 = 748.68 : x
  2. Step 2: Convert to fraction form
    967.51/1,451.97 = 748.68/x
  3. Step 3: Cross multiply
    967.51x = 1,451.97 × 748.68
  4. Step 4: Simplify right side
    967.51x = 1,087,060.90
  5. Step 5: Solve for x
    x = 1,087,060.90/967.51
  6. Step 6: Final answer
    x = 1,123.57

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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.