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Finding the Fourth Proportional to 649.35, 896.10 and 354.61

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Solution

The fourth proportional to 649.35, 896.10 and 354.61 is: 489.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.35 : 896.10 = 354.61 : x
  2. Step 2: Convert to fraction form
    649.35/896.10 = 354.61/x
  3. Step 3: Cross multiply
    649.35x = 896.10 × 354.61
  4. Step 4: Simplify right side
    649.35x = 317,765.81
  5. Step 5: Solve for x
    x = 317,765.81/649.35
  6. Step 6: Final answer
    x = 489.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.