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Finding the Fourth Proportional to 969.85, 1,338.42 and 527.78

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Solution

The fourth proportional to 969.85, 1,338.42 and 527.78 is: 728.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.85 : 1,338.42 = 527.78 : x
  2. Step 2: Convert to fraction form
    969.85/1,338.42 = 527.78/x
  3. Step 3: Cross multiply
    969.85x = 1,338.42 × 527.78
  4. Step 4: Simplify right side
    969.85x = 706,391.31
  5. Step 5: Solve for x
    x = 706,391.31/969.85
  6. Step 6: Final answer
    x = 728.35

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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.