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Finding the Fourth Proportional to 1,482.33, 2,221.59 and 787.56

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Solution

The fourth proportional to 1,482.33, 2,221.59 and 787.56 is: 1,180.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.33 : 2,221.59 = 787.56 : x
  2. Step 2: Convert to fraction form
    1,482.33/2,221.59 = 787.56/x
  3. Step 3: Cross multiply
    1,482.33x = 2,221.59 × 787.56
  4. Step 4: Simplify right side
    1,482.33x = 1,749,635.42
  5. Step 5: Solve for x
    x = 1,749,635.42/1,482.33
  6. Step 6: Final answer
    x = 1,180.33

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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.