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Finding the Fourth Proportional to 467.27, 697.64 and 411.90

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Solution

The fourth proportional to 467.27, 697.64 and 411.90 is: 614.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.27 : 697.64 = 411.90 : x
  2. Step 2: Convert to fraction form
    467.27/697.64 = 411.90/x
  3. Step 3: Cross multiply
    467.27x = 697.64 × 411.90
  4. Step 4: Simplify right side
    467.27x = 287,355.86
  5. Step 5: Solve for x
    x = 287,355.86/467.27
  6. Step 6: Final answer
    x = 614.97

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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.