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Finding the Fourth Proportional to 621.13, 857.27 and 464.55

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Solution

The fourth proportional to 621.13, 857.27 and 464.55 is: 641.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.13 : 857.27 = 464.55 : x
  2. Step 2: Convert to fraction form
    621.13/857.27 = 464.55/x
  3. Step 3: Cross multiply
    621.13x = 857.27 × 464.55
  4. Step 4: Simplify right side
    621.13x = 398,244.78
  5. Step 5: Solve for x
    x = 398,244.78/621.13
  6. Step 6: Final answer
    x = 641.16

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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.