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Finding the Fourth Proportional to 462.08, 693.24 and 411.11

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Solution

The fourth proportional to 462.08, 693.24 and 411.11 is: 616.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.08 : 693.24 = 411.11 : x
  2. Step 2: Convert to fraction form
    462.08/693.24 = 411.11/x
  3. Step 3: Cross multiply
    462.08x = 693.24 × 411.11
  4. Step 4: Simplify right side
    462.08x = 284,995.49
  5. Step 5: Solve for x
    x = 284,995.49/462.08
  6. Step 6: Final answer
    x = 616.76

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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.