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Finding the Fourth Proportional to 787.58, 1,086.82 and 601.20

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Solution

The fourth proportional to 787.58, 1,086.82 and 601.20 is: 829.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.58 : 1,086.82 = 601.20 : x
  2. Step 2: Convert to fraction form
    787.58/1,086.82 = 601.20/x
  3. Step 3: Cross multiply
    787.58x = 1,086.82 × 601.20
  4. Step 4: Simplify right side
    787.58x = 653,396.18
  5. Step 5: Solve for x
    x = 653,396.18/787.58
  6. Step 6: Final answer
    x = 829.63

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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.