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Finding the Fourth Proportional to 1,243.47, 1,865.31 and 809.72

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Solution

The fourth proportional to 1,243.47, 1,865.31 and 809.72 is: 1,214.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.47 : 1,865.31 = 809.72 : x
  2. Step 2: Convert to fraction form
    1,243.47/1,865.31 = 809.72/x
  3. Step 3: Cross multiply
    1,243.47x = 1,865.31 × 809.72
  4. Step 4: Simplify right side
    1,243.47x = 1,510,369.49
  5. Step 5: Solve for x
    x = 1,510,369.49/1,243.47
  6. Step 6: Final answer
    x = 1,214.64

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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.