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Finding the Fourth Proportional to 609.24, 914.40 and 487.20

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Solution

The fourth proportional to 609.24, 914.40 and 487.20 is: 731.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.24 : 914.40 = 487.20 : x
  2. Step 2: Convert to fraction form
    609.24/914.40 = 487.20/x
  3. Step 3: Cross multiply
    609.24x = 914.40 × 487.20
  4. Step 4: Simplify right side
    609.24x = 445,495.68
  5. Step 5: Solve for x
    x = 445,495.68/609.24
  6. Step 6: Final answer
    x = 731.23

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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.