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Finding the Fourth Proportional to 621.61, 857.84 and 341.86

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Solution

The fourth proportional to 621.61, 857.84 and 341.86 is: 471.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.61 : 857.84 = 341.86 : x
  2. Step 2: Convert to fraction form
    621.61/857.84 = 341.86/x
  3. Step 3: Cross multiply
    621.61x = 857.84 × 341.86
  4. Step 4: Simplify right side
    621.61x = 293,261.35
  5. Step 5: Solve for x
    x = 293,261.35/621.61
  6. Step 6: Final answer
    x = 471.78

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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.