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Finding the Fourth Proportional to 649.75, 896.11 and 387.58

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Solution

The fourth proportional to 649.75, 896.11 and 387.58 is: 534.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.75 : 896.11 = 387.58 : x
  2. Step 2: Convert to fraction form
    649.75/896.11 = 387.58/x
  3. Step 3: Cross multiply
    649.75x = 896.11 × 387.58
  4. Step 4: Simplify right side
    649.75x = 347,314.31
  5. Step 5: Solve for x
    x = 347,314.31/649.75
  6. Step 6: Final answer
    x = 534.54

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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.