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Finding the Fourth Proportional to 925.67, 1,388.78 and 492.50

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Solution

The fourth proportional to 925.67, 1,388.78 and 492.50 is: 738.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.67 : 1,388.78 = 492.50 : x
  2. Step 2: Convert to fraction form
    925.67/1,388.78 = 492.50/x
  3. Step 3: Cross multiply
    925.67x = 1,388.78 × 492.50
  4. Step 4: Simplify right side
    925.67x = 683,974.15
  5. Step 5: Solve for x
    x = 683,974.15/925.67
  6. Step 6: Final answer
    x = 738.90

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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.