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Finding the Fourth Proportional to 621.64, 858.09 and 411.88

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Solution

The fourth proportional to 621.64, 858.09 and 411.88 is: 568.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.64 : 858.09 = 411.88 : x
  2. Step 2: Convert to fraction form
    621.64/858.09 = 411.88/x
  3. Step 3: Cross multiply
    621.64x = 858.09 × 411.88
  4. Step 4: Simplify right side
    621.64x = 353,429.72
  5. Step 5: Solve for x
    x = 353,429.72/621.64
  6. Step 6: Final answer
    x = 568.55

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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.