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Finding the Fourth Proportional to 906.27, 1,357.78 and 515.85

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Solution

The fourth proportional to 906.27, 1,357.78 and 515.85 is: 772.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.27 : 1,357.78 = 515.85 : x
  2. Step 2: Convert to fraction form
    906.27/1,357.78 = 515.85/x
  3. Step 3: Cross multiply
    906.27x = 1,357.78 × 515.85
  4. Step 4: Simplify right side
    906.27x = 700,410.81
  5. Step 5: Solve for x
    x = 700,410.81/906.27
  6. Step 6: Final answer
    x = 772.85

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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.