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Finding the Fourth Proportional to 788.41, 1,088.09 and 452.43

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Solution

The fourth proportional to 788.41, 1,088.09 and 452.43 is: 624.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.41 : 1,088.09 = 452.43 : x
  2. Step 2: Convert to fraction form
    788.41/1,088.09 = 452.43/x
  3. Step 3: Cross multiply
    788.41x = 1,088.09 × 452.43
  4. Step 4: Simplify right side
    788.41x = 492,284.56
  5. Step 5: Solve for x
    x = 492,284.56/788.41
  6. Step 6: Final answer
    x = 624.40

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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.