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Finding the Fourth Proportional to 621.35, 857.06 and 381.98

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Solution

The fourth proportional to 621.35, 857.06 and 381.98 is: 526.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.35 : 857.06 = 381.98 : x
  2. Step 2: Convert to fraction form
    621.35/857.06 = 381.98/x
  3. Step 3: Cross multiply
    621.35x = 857.06 × 381.98
  4. Step 4: Simplify right side
    621.35x = 327,373.58
  5. Step 5: Solve for x
    x = 327,373.58/621.35
  6. Step 6: Final answer
    x = 526.88

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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.