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Finding the Fourth Proportional to 649.54, 896.09 and 387.51

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Solution

The fourth proportional to 649.54, 896.09 and 387.51 is: 534.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.54 : 896.09 = 387.51 : x
  2. Step 2: Convert to fraction form
    649.54/896.09 = 387.51/x
  3. Step 3: Cross multiply
    649.54x = 896.09 × 387.51
  4. Step 4: Simplify right side
    649.54x = 347,239.36
  5. Step 5: Solve for x
    x = 347,239.36/649.54
  6. Step 6: Final answer
    x = 534.59

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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.