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Finding the Fourth Proportional to 956.92, 1,324.16 and 816.82

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Solution

The fourth proportional to 956.92, 1,324.16 and 816.82 is: 1,130.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.92 : 1,324.16 = 816.82 : x
  2. Step 2: Convert to fraction form
    956.92/1,324.16 = 816.82/x
  3. Step 3: Cross multiply
    956.92x = 1,324.16 × 816.82
  4. Step 4: Simplify right side
    956.92x = 1,081,600.37
  5. Step 5: Solve for x
    x = 1,081,600.37/956.92
  6. Step 6: Final answer
    x = 1,130.29

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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.