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Finding the Fourth Proportional to 417.47, 624.83 and 379.65

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Solution

The fourth proportional to 417.47, 624.83 and 379.65 is: 568.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.47 : 624.83 = 379.65 : x
  2. Step 2: Convert to fraction form
    417.47/624.83 = 379.65/x
  3. Step 3: Cross multiply
    417.47x = 624.83 × 379.65
  4. Step 4: Simplify right side
    417.47x = 237,217.66
  5. Step 5: Solve for x
    x = 237,217.66/417.47
  6. Step 6: Final answer
    x = 568.23

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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.