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Finding the Fourth Proportional to 609.76, 914.29 and 262.88

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Solution

The fourth proportional to 609.76, 914.29 and 262.88 is: 394.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.76 : 914.29 = 262.88 : x
  2. Step 2: Convert to fraction form
    609.76/914.29 = 262.88/x
  3. Step 3: Cross multiply
    609.76x = 914.29 × 262.88
  4. Step 4: Simplify right side
    609.76x = 240,348.56
  5. Step 5: Solve for x
    x = 240,348.56/609.76
  6. Step 6: Final answer
    x = 394.17

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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.