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Finding the Fourth Proportional to 969.68, 1,338.24 and 550.04

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Solution

The fourth proportional to 969.68, 1,338.24 and 550.04 is: 759.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.68 : 1,338.24 = 550.04 : x
  2. Step 2: Convert to fraction form
    969.68/1,338.24 = 550.04/x
  3. Step 3: Cross multiply
    969.68x = 1,338.24 × 550.04
  4. Step 4: Simplify right side
    969.68x = 736,085.53
  5. Step 5: Solve for x
    x = 736,085.53/969.68
  6. Step 6: Final answer
    x = 759.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.