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Finding the Fourth Proportional to 982.24, 1,355.53 and 650.78

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Solution

The fourth proportional to 982.24, 1,355.53 and 650.78 is: 898.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.24 : 1,355.53 = 650.78 : x
  2. Step 2: Convert to fraction form
    982.24/1,355.53 = 650.78/x
  3. Step 3: Cross multiply
    982.24x = 1,355.53 × 650.78
  4. Step 4: Simplify right side
    982.24x = 882,145.85
  5. Step 5: Solve for x
    x = 882,145.85/982.24
  6. Step 6: Final answer
    x = 898.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.