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Finding the Fourth Proportional to 609.51, 913.56 and 284.19

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Solution

The fourth proportional to 609.51, 913.56 and 284.19 is: 425.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.51 : 913.56 = 284.19 : x
  2. Step 2: Convert to fraction form
    609.51/913.56 = 284.19/x
  3. Step 3: Cross multiply
    609.51x = 913.56 × 284.19
  4. Step 4: Simplify right side
    609.51x = 259,624.62
  5. Step 5: Solve for x
    x = 259,624.62/609.51
  6. Step 6: Final answer
    x = 425.96

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Double scale
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1.5x scale

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.