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Finding the Fourth Proportional to 605.34, 908.43 and 312.66

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Solution

The fourth proportional to 605.34, 908.43 and 312.66 is: 469.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.34 : 908.43 = 312.66 : x
  2. Step 2: Convert to fraction form
    605.34/908.43 = 312.66/x
  3. Step 3: Cross multiply
    605.34x = 908.43 × 312.66
  4. Step 4: Simplify right side
    605.34x = 284,029.72
  5. Step 5: Solve for x
    x = 284,029.72/605.34
  6. Step 6: Final answer
    x = 469.21

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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.