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Finding the Fourth Proportional to 609.89, 913.46 and 472.52

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Solution

The fourth proportional to 609.89, 913.46 and 472.52 is: 707.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.89 : 913.46 = 472.52 : x
  2. Step 2: Convert to fraction form
    609.89/913.46 = 472.52/x
  3. Step 3: Cross multiply
    609.89x = 913.46 × 472.52
  4. Step 4: Simplify right side
    609.89x = 431,628.12
  5. Step 5: Solve for x
    x = 431,628.12/609.89
  6. Step 6: Final answer
    x = 707.71

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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.