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Finding the Fourth Proportional to 642.07, 884.98 and 490.61

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Solution

The fourth proportional to 642.07, 884.98 and 490.61 is: 676.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.07 : 884.98 = 490.61 : x
  2. Step 2: Convert to fraction form
    642.07/884.98 = 490.61/x
  3. Step 3: Cross multiply
    642.07x = 884.98 × 490.61
  4. Step 4: Simplify right side
    642.07x = 434,180.73
  5. Step 5: Solve for x
    x = 434,180.73/642.07
  6. Step 6: Final answer
    x = 676.22

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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.