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Finding the Fourth Proportional to 649.71, 896.56 and 354.92

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Solution

The fourth proportional to 649.71, 896.56 and 354.92 is: 489.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.71 : 896.56 = 354.92 : x
  2. Step 2: Convert to fraction form
    649.71/896.56 = 354.92/x
  3. Step 3: Cross multiply
    649.71x = 896.56 × 354.92
  4. Step 4: Simplify right side
    649.71x = 318,202.59
  5. Step 5: Solve for x
    x = 318,202.59/649.71
  6. Step 6: Final answer
    x = 489.76

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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.