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Finding the Fourth Proportional to 701.89, 969.11 and 537.18

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Solution

The fourth proportional to 701.89, 969.11 and 537.18 is: 741.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.89 : 969.11 = 537.18 : x
  2. Step 2: Convert to fraction form
    701.89/969.11 = 537.18/x
  3. Step 3: Cross multiply
    701.89x = 969.11 × 537.18
  4. Step 4: Simplify right side
    701.89x = 520,590.68
  5. Step 5: Solve for x
    x = 520,590.68/701.89
  6. Step 6: Final answer
    x = 741.70

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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.