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Finding the Fourth Proportional to 898.08, 1,236.22 and 774.15

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Solution

The fourth proportional to 898.08, 1,236.22 and 774.15 is: 1,065.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.08 : 1,236.22 = 774.15 : x
  2. Step 2: Convert to fraction form
    898.08/1,236.22 = 774.15/x
  3. Step 3: Cross multiply
    898.08x = 1,236.22 × 774.15
  4. Step 4: Simplify right side
    898.08x = 957,019.71
  5. Step 5: Solve for x
    x = 957,019.71/898.08
  6. Step 6: Final answer
    x = 1,065.63

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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.