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Finding the Fourth Proportional to 788.74, 1,180.95 and 498.22

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Solution

The fourth proportional to 788.74, 1,180.95 and 498.22 is: 745.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.74 : 1,180.95 = 498.22 : x
  2. Step 2: Convert to fraction form
    788.74/1,180.95 = 498.22/x
  3. Step 3: Cross multiply
    788.74x = 1,180.95 × 498.22
  4. Step 4: Simplify right side
    788.74x = 588,372.91
  5. Step 5: Solve for x
    x = 588,372.91/788.74
  6. Step 6: Final answer
    x = 745.97

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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.