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Finding the Fourth Proportional to 641.83, 885.01 and 558.19

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Solution

The fourth proportional to 641.83, 885.01 and 558.19 is: 769.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.83 : 885.01 = 558.19 : x
  2. Step 2: Convert to fraction form
    641.83/885.01 = 558.19/x
  3. Step 3: Cross multiply
    641.83x = 885.01 × 558.19
  4. Step 4: Simplify right side
    641.83x = 494,003.73
  5. Step 5: Solve for x
    x = 494,003.73/641.83
  6. Step 6: Final answer
    x = 769.68

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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.