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Finding the Fourth Proportional to 969.52, 1,451.20 and 506.68

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Solution

The fourth proportional to 969.52, 1,451.20 and 506.68 is: 758.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.52 : 1,451.20 = 506.68 : x
  2. Step 2: Convert to fraction form
    969.52/1,451.20 = 506.68/x
  3. Step 3: Cross multiply
    969.52x = 1,451.20 × 506.68
  4. Step 4: Simplify right side
    969.52x = 735,294.02
  5. Step 5: Solve for x
    x = 735,294.02/969.52
  6. Step 6: Final answer
    x = 758.41

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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.