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Finding the Fourth Proportional to 1,317.92, 1,974.20 and 822.70

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Solution

The fourth proportional to 1,317.92, 1,974.20 and 822.70 is: 1,232.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.92 : 1,974.20 = 822.70 : x
  2. Step 2: Convert to fraction form
    1,317.92/1,974.20 = 822.70/x
  3. Step 3: Cross multiply
    1,317.92x = 1,974.20 × 822.70
  4. Step 4: Simplify right side
    1,317.92x = 1,624,174.34
  5. Step 5: Solve for x
    x = 1,624,174.34/1,317.92
  6. Step 6: Final answer
    x = 1,232.38

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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.