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Finding the Fourth Proportional to 649.54, 896.42 and 387.50

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Solution

The fourth proportional to 649.54, 896.42 and 387.50 is: 534.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.54 : 896.42 = 387.50 : x
  2. Step 2: Convert to fraction form
    649.54/896.42 = 387.50/x
  3. Step 3: Cross multiply
    649.54x = 896.42 × 387.50
  4. Step 4: Simplify right side
    649.54x = 347,362.75
  5. Step 5: Solve for x
    x = 347,362.75/649.54
  6. Step 6: Final answer
    x = 534.78

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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.