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Finding the Fourth Proportional to 1,193.49, 1,788.11 and 498.62

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Solution

The fourth proportional to 1,193.49, 1,788.11 and 498.62 is: 747.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.49 : 1,788.11 = 498.62 : x
  2. Step 2: Convert to fraction form
    1,193.49/1,788.11 = 498.62/x
  3. Step 3: Cross multiply
    1,193.49x = 1,788.11 × 498.62
  4. Step 4: Simplify right side
    1,193.49x = 891,590.63
  5. Step 5: Solve for x
    x = 891,590.63/1,193.49
  6. Step 6: Final answer
    x = 747.05

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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.