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Finding the Fourth Proportional to 1,209.71, 1,814.57 and 801.44

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Solution

The fourth proportional to 1,209.71, 1,814.57 and 801.44 is: 1,202.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.71 : 1,814.57 = 801.44 : x
  2. Step 2: Convert to fraction form
    1,209.71/1,814.57 = 801.44/x
  3. Step 3: Cross multiply
    1,209.71x = 1,814.57 × 801.44
  4. Step 4: Simplify right side
    1,209.71x = 1,454,264.97
  5. Step 5: Solve for x
    x = 1,454,264.97/1,209.71
  6. Step 6: Final answer
    x = 1,202.16

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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.