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Finding the Fourth Proportional to 1,444.87, 2,168.07 and 787.22

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Solution

The fourth proportional to 1,444.87, 2,168.07 and 787.22 is: 1,181.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.87 : 2,168.07 = 787.22 : x
  2. Step 2: Convert to fraction form
    1,444.87/2,168.07 = 787.22/x
  3. Step 3: Cross multiply
    1,444.87x = 2,168.07 × 787.22
  4. Step 4: Simplify right side
    1,444.87x = 1,706,742.40
  5. Step 5: Solve for x
    x = 1,706,742.40/1,444.87
  6. Step 6: Final answer
    x = 1,181.24

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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.