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Finding the Fourth Proportional to 620.46, 857.79 and 464.94

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Solution

The fourth proportional to 620.46, 857.79 and 464.94 is: 642.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.46 : 857.79 = 464.94 : x
  2. Step 2: Convert to fraction form
    620.46/857.79 = 464.94/x
  3. Step 3: Cross multiply
    620.46x = 857.79 × 464.94
  4. Step 4: Simplify right side
    620.46x = 398,820.88
  5. Step 5: Solve for x
    x = 398,820.88/620.46
  6. Step 6: Final answer
    x = 642.78

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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.