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Finding the Fourth Proportional to 649.36, 896.16 and 387.48

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Solution

The fourth proportional to 649.36, 896.16 and 387.48 is: 534.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.36 : 896.16 = 387.48 : x
  2. Step 2: Convert to fraction form
    649.36/896.16 = 387.48/x
  3. Step 3: Cross multiply
    649.36x = 896.16 × 387.48
  4. Step 4: Simplify right side
    649.36x = 347,244.08
  5. Step 5: Solve for x
    x = 347,244.08/649.36
  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.