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Finding the Fourth Proportional to 788.05, 1,087.50 and 438.73

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Solution

The fourth proportional to 788.05, 1,087.50 and 438.73 is: 605.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.05 : 1,087.50 = 438.73 : x
  2. Step 2: Convert to fraction form
    788.05/1,087.50 = 438.73/x
  3. Step 3: Cross multiply
    788.05x = 1,087.50 × 438.73
  4. Step 4: Simplify right side
    788.05x = 477,118.88
  5. Step 5: Solve for x
    x = 477,118.88/788.05
  6. Step 6: Final answer
    x = 605.44

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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.