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Finding the Fourth Proportional to 788.78, 1,184.85 and 480.80

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Solution

The fourth proportional to 788.78, 1,184.85 and 480.80 is: 722.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.78 : 1,184.85 = 480.80 : x
  2. Step 2: Convert to fraction form
    788.78/1,184.85 = 480.80/x
  3. Step 3: Cross multiply
    788.78x = 1,184.85 × 480.80
  4. Step 4: Simplify right side
    788.78x = 569,669.96
  5. Step 5: Solve for x
    x = 569,669.96/788.78
  6. Step 6: Final answer
    x = 722.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.