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Finding the Fourth Proportional to 649.38, 896.15 and 354.66

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Solution

The fourth proportional to 649.38, 896.15 and 354.66 is: 489.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.38 : 896.15 = 354.66 : x
  2. Step 2: Convert to fraction form
    649.38/896.15 = 354.66/x
  3. Step 3: Cross multiply
    649.38x = 896.15 × 354.66
  4. Step 4: Simplify right side
    649.38x = 317,824.08
  5. Step 5: Solve for x
    x = 317,824.08/649.38
  6. Step 6: Final answer
    x = 489.43

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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.