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Finding the Fourth Proportional to 788.10, 1,087.53 and 438.78

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Solution

The fourth proportional to 788.10, 1,087.53 and 438.78 is: 605.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.10 : 1,087.53 = 438.78 : x
  2. Step 2: Convert to fraction form
    788.10/1,087.53 = 438.78/x
  3. Step 3: Cross multiply
    788.10x = 1,087.53 × 438.78
  4. Step 4: Simplify right side
    788.10x = 477,186.41
  5. Step 5: Solve for x
    x = 477,186.41/788.10
  6. Step 6: Final answer
    x = 605.49

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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.