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Finding the Fourth Proportional to 642.08, 885.66 and 445.52

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Solution

The fourth proportional to 642.08, 885.66 and 445.52 is: 614.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.08 : 885.66 = 445.52 : x
  2. Step 2: Convert to fraction form
    642.08/885.66 = 445.52/x
  3. Step 3: Cross multiply
    642.08x = 885.66 × 445.52
  4. Step 4: Simplify right side
    642.08x = 394,579.24
  5. Step 5: Solve for x
    x = 394,579.24/642.08
  6. Step 6: Final answer
    x = 614.53

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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.