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Finding the Fourth Proportional to 605.34, 906.69 and 374.29

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Solution

The fourth proportional to 605.34, 906.69 and 374.29 is: 560.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.34 : 906.69 = 374.29 : x
  2. Step 2: Convert to fraction form
    605.34/906.69 = 374.29/x
  3. Step 3: Cross multiply
    605.34x = 906.69 × 374.29
  4. Step 4: Simplify right side
    605.34x = 339,362.73
  5. Step 5: Solve for x
    x = 339,362.73/605.34
  6. Step 6: Final answer
    x = 560.62

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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.