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Finding the Fourth Proportional to 787.44, 1,086.70 and 438.13

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Solution

The fourth proportional to 787.44, 1,086.70 and 438.13 is: 604.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.44 : 1,086.70 = 438.13 : x
  2. Step 2: Convert to fraction form
    787.44/1,086.70 = 438.13/x
  3. Step 3: Cross multiply
    787.44x = 1,086.70 × 438.13
  4. Step 4: Simplify right side
    787.44x = 476,110.44
  5. Step 5: Solve for x
    x = 476,110.44/787.44
  6. Step 6: Final answer
    x = 604.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.