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Finding the Fourth Proportional to 418.87, 624.97 and 374.83

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Solution

The fourth proportional to 418.87, 624.97 and 374.83 is: 559.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.87 : 624.97 = 374.83 : x
  2. Step 2: Convert to fraction form
    418.87/624.97 = 374.83/x
  3. Step 3: Cross multiply
    418.87x = 624.97 × 374.83
  4. Step 4: Simplify right side
    418.87x = 234,254.30
  5. Step 5: Solve for x
    x = 234,254.30/418.87
  6. Step 6: Final answer
    x = 559.25

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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.