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Finding the Fourth Proportional to 414.77, 621.46 and 292.78

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Solution

The fourth proportional to 414.77, 621.46 and 292.78 is: 438.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.77 : 621.46 = 292.78 : x
  2. Step 2: Convert to fraction form
    414.77/621.46 = 292.78/x
  3. Step 3: Cross multiply
    414.77x = 621.46 × 292.78
  4. Step 4: Simplify right side
    414.77x = 181,948.77
  5. Step 5: Solve for x
    x = 181,948.77/414.77
  6. Step 6: Final answer
    x = 438.68

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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.