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Finding the Fourth Proportional to 969.91, 1,338.48 and 550.35

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Solution

The fourth proportional to 969.91, 1,338.48 and 550.35 is: 759.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.91 : 1,338.48 = 550.35 : x
  2. Step 2: Convert to fraction form
    969.91/1,338.48 = 550.35/x
  3. Step 3: Cross multiply
    969.91x = 1,338.48 × 550.35
  4. Step 4: Simplify right side
    969.91x = 736,632.47
  5. Step 5: Solve for x
    x = 736,632.47/969.91
  6. Step 6: Final answer
    x = 759.49

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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.