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Finding the Fourth Proportional to 649.51, 896.32 and 354.78

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Solution

The fourth proportional to 649.51, 896.32 and 354.78 is: 489.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.51 : 896.32 = 354.78 : x
  2. Step 2: Convert to fraction form
    649.51/896.32 = 354.78/x
  3. Step 3: Cross multiply
    649.51x = 896.32 × 354.78
  4. Step 4: Simplify right side
    649.51x = 317,996.41
  5. Step 5: Solve for x
    x = 317,996.41/649.51
  6. Step 6: Final answer
    x = 489.59

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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.