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Finding the Fourth Proportional to 621.38, 857.68 and 414.38

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Solution

The fourth proportional to 621.38, 857.68 and 414.38 is: 571.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.38 : 857.68 = 414.38 : x
  2. Step 2: Convert to fraction form
    621.38/857.68 = 414.38/x
  3. Step 3: Cross multiply
    621.38x = 857.68 × 414.38
  4. Step 4: Simplify right side
    621.38x = 355,400.11
  5. Step 5: Solve for x
    x = 355,400.11/621.38
  6. Step 6: Final answer
    x = 571.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.