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Finding the Fourth Proportional to 621.50, 857.43 and 411.78

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Solution

The fourth proportional to 621.50, 857.43 and 411.78 is: 568.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.50 : 857.43 = 411.78 : x
  2. Step 2: Convert to fraction form
    621.50/857.43 = 411.78/x
  3. Step 3: Cross multiply
    621.50x = 857.43 × 411.78
  4. Step 4: Simplify right side
    621.50x = 353,072.53
  5. Step 5: Solve for x
    x = 353,072.53/621.50
  6. Step 6: Final answer
    x = 568.10

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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.