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Finding the Fourth Proportional to 649.60, 896.43 and 387.61

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Solution

The fourth proportional to 649.60, 896.43 and 387.61 is: 534.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.60 : 896.43 = 387.61 : x
  2. Step 2: Convert to fraction form
    649.60/896.43 = 387.61/x
  3. Step 3: Cross multiply
    649.60x = 896.43 × 387.61
  4. Step 4: Simplify right side
    649.60x = 347,465.23
  5. Step 5: Solve for x
    x = 347,465.23/649.60
  6. Step 6: Final answer
    x = 534.89

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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.