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Finding the Fourth Proportional to 618.88, 854.05 and 386

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Solution

The fourth proportional to 618.88, 854.05 and 386 is: 532.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.88 : 854.05 = 386 : x
  2. Step 2: Convert to fraction form
    618.88/854.05 = 386/x
  3. Step 3: Cross multiply
    618.88x = 854.05 × 386
  4. Step 4: Simplify right side
    618.88x = 329,663.30
  5. Step 5: Solve for x
    x = 329,663.30/618.88
  6. Step 6: Final answer
    x = 532.68

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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.