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Finding the Fourth Proportional to 621.88, 857.46 and 400.84

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Solution

The fourth proportional to 621.88, 857.46 and 400.84 is: 552.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.88 : 857.46 = 400.84 : x
  2. Step 2: Convert to fraction form
    621.88/857.46 = 400.84/x
  3. Step 3: Cross multiply
    621.88x = 857.46 × 400.84
  4. Step 4: Simplify right side
    621.88x = 343,704.27
  5. Step 5: Solve for x
    x = 343,704.27/621.88
  6. Step 6: Final answer
    x = 552.69

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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.