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Finding the Fourth Proportional to 969.38, 1,337.22 and 614.66

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Solution

The fourth proportional to 969.38, 1,337.22 and 614.66 is: 847.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.38 : 1,337.22 = 614.66 : x
  2. Step 2: Convert to fraction form
    969.38/1,337.22 = 614.66/x
  3. Step 3: Cross multiply
    969.38x = 1,337.22 × 614.66
  4. Step 4: Simplify right side
    969.38x = 821,935.65
  5. Step 5: Solve for x
    x = 821,935.65/969.38
  6. Step 6: Final answer
    x = 847.90

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1.5x scale

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.