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Finding the Fourth Proportional to 905.46, 1,357.06 and 515.78

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Solution

The fourth proportional to 905.46, 1,357.06 and 515.78 is: 773.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.46 : 1,357.06 = 515.78 : x
  2. Step 2: Convert to fraction form
    905.46/1,357.06 = 515.78/x
  3. Step 3: Cross multiply
    905.46x = 1,357.06 × 515.78
  4. Step 4: Simplify right side
    905.46x = 699,944.41
  5. Step 5: Solve for x
    x = 699,944.41/905.46
  6. Step 6: Final answer
    x = 773.03

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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.