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Finding the Fourth Proportional to 609.68, 913.61 and 488.18

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Solution

The fourth proportional to 609.68, 913.61 and 488.18 is: 731.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.68 : 913.61 = 488.18 : x
  2. Step 2: Convert to fraction form
    609.68/913.61 = 488.18/x
  3. Step 3: Cross multiply
    609.68x = 913.61 × 488.18
  4. Step 4: Simplify right side
    609.68x = 446,009.63
  5. Step 5: Solve for x
    x = 446,009.63/609.68
  6. Step 6: Final answer
    x = 731.54

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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.