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Finding the Fourth Proportional to 621.87, 857.73 and 422.76

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Solution

The fourth proportional to 621.87, 857.73 and 422.76 is: 583.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.87 : 857.73 = 422.76 : x
  2. Step 2: Convert to fraction form
    621.87/857.73 = 422.76/x
  3. Step 3: Cross multiply
    621.87x = 857.73 × 422.76
  4. Step 4: Simplify right side
    621.87x = 362,613.93
  5. Step 5: Solve for x
    x = 362,613.93/621.87
  6. Step 6: Final answer
    x = 583.10

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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.