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Finding the Fourth Proportional to 649.52, 896.33 and 387.50

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Solution

The fourth proportional to 649.52, 896.33 and 387.50 is: 534.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.52 : 896.33 = 387.50 : x
  2. Step 2: Convert to fraction form
    649.52/896.33 = 387.50/x
  3. Step 3: Cross multiply
    649.52x = 896.33 × 387.50
  4. Step 4: Simplify right side
    649.52x = 347,325.94
  5. Step 5: Solve for x
    x = 347,325.94/649.52
  6. Step 6: Final answer
    x = 534.75

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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.