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Finding the Fourth Proportional to 642.52, 885.09 and 609.58

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Solution

The fourth proportional to 642.52, 885.09 and 609.58 is: 839.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.52 : 885.09 = 609.58 : x
  2. Step 2: Convert to fraction form
    642.52/885.09 = 609.58/x
  3. Step 3: Cross multiply
    642.52x = 885.09 × 609.58
  4. Step 4: Simplify right side
    642.52x = 539,533.16
  5. Step 5: Solve for x
    x = 539,533.16/642.52
  6. Step 6: Final answer
    x = 839.71

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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.