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Finding the Fourth Proportional to 412.92, 616.35 and 382.88

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Solution

The fourth proportional to 412.92, 616.35 and 382.88 is: 571.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.92 : 616.35 = 382.88 : x
  2. Step 2: Convert to fraction form
    412.92/616.35 = 382.88/x
  3. Step 3: Cross multiply
    412.92x = 616.35 × 382.88
  4. Step 4: Simplify right side
    412.92x = 235,985.01
  5. Step 5: Solve for x
    x = 235,985.01/412.92
  6. Step 6: Final answer
    x = 571.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.