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Finding the Fourth Proportional to 642.30, 884.52 and 445.46

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Solution

The fourth proportional to 642.30, 884.52 and 445.46 is: 613.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.30 : 884.52 = 445.46 : x
  2. Step 2: Convert to fraction form
    642.30/884.52 = 445.46/x
  3. Step 3: Cross multiply
    642.30x = 884.52 × 445.46
  4. Step 4: Simplify right side
    642.30x = 394,018.28
  5. Step 5: Solve for x
    x = 394,018.28/642.30
  6. Step 6: Final answer
    x = 613.45

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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.