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Finding the Fourth Proportional to 1,734.38, 2,601.57 and 969.74

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Solution

The fourth proportional to 1,734.38, 2,601.57 and 969.74 is: 1,454.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.38 : 2,601.57 = 969.74 : x
  2. Step 2: Convert to fraction form
    1,734.38/2,601.57 = 969.74/x
  3. Step 3: Cross multiply
    1,734.38x = 2,601.57 × 969.74
  4. Step 4: Simplify right side
    1,734.38x = 2,522,846.49
  5. Step 5: Solve for x
    x = 2,522,846.49/1,734.38
  6. Step 6: Final answer
    x = 1,454.61

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1.5x scale

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.