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Finding the Fourth Proportional to 591.98, 885.78 and 418.82

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Solution

The fourth proportional to 591.98, 885.78 and 418.82 is: 626.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.98 : 885.78 = 418.82 : x
  2. Step 2: Convert to fraction form
    591.98/885.78 = 418.82/x
  3. Step 3: Cross multiply
    591.98x = 885.78 × 418.82
  4. Step 4: Simplify right side
    591.98x = 370,977.95
  5. Step 5: Solve for x
    x = 370,977.95/591.98
  6. Step 6: Final answer
    x = 626.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.