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Finding the Fourth Proportional to 605.72, 909.01 and 297.66

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Solution

The fourth proportional to 605.72, 909.01 and 297.66 is: 446.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.72 : 909.01 = 297.66 : x
  2. Step 2: Convert to fraction form
    605.72/909.01 = 297.66/x
  3. Step 3: Cross multiply
    605.72x = 909.01 × 297.66
  4. Step 4: Simplify right side
    605.72x = 270,572.25
  5. Step 5: Solve for x
    x = 270,572.25/605.72
  6. Step 6: Final answer
    x = 446.70

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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.