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Finding the Fourth Proportional to 618.49, 928.65 and 388.84

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Solution

The fourth proportional to 618.49, 928.65 and 388.84 is: 583.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.49 : 928.65 = 388.84 : x
  2. Step 2: Convert to fraction form
    618.49/928.65 = 388.84/x
  3. Step 3: Cross multiply
    618.49x = 928.65 × 388.84
  4. Step 4: Simplify right side
    618.49x = 361,096.27
  5. Step 5: Solve for x
    x = 361,096.27/618.49
  6. Step 6: Final answer
    x = 583.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.