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Finding the Fourth Proportional to 2,460.48, 3,691.29 and 816.99

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Solution

The fourth proportional to 2,460.48, 3,691.29 and 816.99 is: 1,225.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.48 : 3,691.29 = 816.99 : x
  2. Step 2: Convert to fraction form
    2,460.48/3,691.29 = 816.99/x
  3. Step 3: Cross multiply
    2,460.48x = 3,691.29 × 816.99
  4. Step 4: Simplify right side
    2,460.48x = 3,015,747.02
  5. Step 5: Solve for x
    x = 3,015,747.02/2,460.48
  6. Step 6: Final answer
    x = 1,225.67

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