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Finding the Fourth Proportional to 967.90, 1,452.44 and 747.68

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Solution

The fourth proportional to 967.90, 1,452.44 and 747.68 is: 1,121.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.90 : 1,452.44 = 747.68 : x
  2. Step 2: Convert to fraction form
    967.90/1,452.44 = 747.68/x
  3. Step 3: Cross multiply
    967.90x = 1,452.44 × 747.68
  4. Step 4: Simplify right side
    967.90x = 1,085,960.34
  5. Step 5: Solve for x
    x = 1,085,960.34/967.90
  6. Step 6: Final answer
    x = 1,121.98

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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.