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Finding the Fourth Proportional to 906.13, 1,246.41 and 756.67

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Solution

The fourth proportional to 906.13, 1,246.41 and 756.67 is: 1,040.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.13 : 1,246.41 = 756.67 : x
  2. Step 2: Convert to fraction form
    906.13/1,246.41 = 756.67/x
  3. Step 3: Cross multiply
    906.13x = 1,246.41 × 756.67
  4. Step 4: Simplify right side
    906.13x = 943,121.05
  5. Step 5: Solve for x
    x = 943,121.05/906.13
  6. Step 6: Final answer
    x = 1,040.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.