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Finding the Fourth Proportional to 609.60, 914.46 and 284.79

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Solution

The fourth proportional to 609.60, 914.46 and 284.79 is: 427.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.60 : 914.46 = 284.79 : x
  2. Step 2: Convert to fraction form
    609.60/914.46 = 284.79/x
  3. Step 3: Cross multiply
    609.60x = 914.46 × 284.79
  4. Step 4: Simplify right side
    609.60x = 260,429.06
  5. Step 5: Solve for x
    x = 260,429.06/609.60
  6. Step 6: Final answer
    x = 427.21

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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.