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Finding the Fourth Proportional to 605.56, 908.95 and 442.75

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Solution

The fourth proportional to 605.56, 908.95 and 442.75 is: 664.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.56 : 908.95 = 442.75 : x
  2. Step 2: Convert to fraction form
    605.56/908.95 = 442.75/x
  3. Step 3: Cross multiply
    605.56x = 908.95 × 442.75
  4. Step 4: Simplify right side
    605.56x = 402,437.61
  5. Step 5: Solve for x
    x = 402,437.61/605.56
  6. Step 6: Final answer
    x = 664.57

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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.