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Finding the Fourth Proportional to 467.15, 698.13 and 418.97

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Solution

The fourth proportional to 467.15, 698.13 and 418.97 is: 626.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.15 : 698.13 = 418.97 : x
  2. Step 2: Convert to fraction form
    467.15/698.13 = 418.97/x
  3. Step 3: Cross multiply
    467.15x = 698.13 × 418.97
  4. Step 4: Simplify right side
    467.15x = 292,497.27
  5. Step 5: Solve for x
    x = 292,497.27/467.15
  6. Step 6: Final answer
    x = 626.14

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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.