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Finding the Fourth Proportional to 969.20, 1,452.77 and 506.51

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Solution

The fourth proportional to 969.20, 1,452.77 and 506.51 is: 759.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.20 : 1,452.77 = 506.51 : x
  2. Step 2: Convert to fraction form
    969.20/1,452.77 = 506.51/x
  3. Step 3: Cross multiply
    969.20x = 1,452.77 × 506.51
  4. Step 4: Simplify right side
    969.20x = 735,832.74
  5. Step 5: Solve for x
    x = 735,832.74/969.20
  6. Step 6: Final answer
    x = 759.22

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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.