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Finding the Fourth Proportional to 621.41, 857.30 and 463.77

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Solution

The fourth proportional to 621.41, 857.30 and 463.77 is: 639.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.41 : 857.30 = 463.77 : x
  2. Step 2: Convert to fraction form
    621.41/857.30 = 463.77/x
  3. Step 3: Cross multiply
    621.41x = 857.30 × 463.77
  4. Step 4: Simplify right side
    621.41x = 397,587.70
  5. Step 5: Solve for x
    x = 397,587.70/621.41
  6. Step 6: Final answer
    x = 639.82

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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.