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Finding the Fourth Proportional to 1,243.44, 1,863.54 and 774.72

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Solution

The fourth proportional to 1,243.44, 1,863.54 and 774.72 is: 1,161.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.44 : 1,863.54 = 774.72 : x
  2. Step 2: Convert to fraction form
    1,243.44/1,863.54 = 774.72/x
  3. Step 3: Cross multiply
    1,243.44x = 1,863.54 × 774.72
  4. Step 4: Simplify right side
    1,243.44x = 1,443,721.71
  5. Step 5: Solve for x
    x = 1,443,721.71/1,243.44
  6. Step 6: Final answer
    x = 1,161.07

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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.