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Finding the Fourth Proportional to 933.92, 1,285.52 and 823.68

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Solution

The fourth proportional to 933.92, 1,285.52 and 823.68 is: 1,133.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.92 : 1,285.52 = 823.68 : x
  2. Step 2: Convert to fraction form
    933.92/1,285.52 = 823.68/x
  3. Step 3: Cross multiply
    933.92x = 1,285.52 × 823.68
  4. Step 4: Simplify right side
    933.92x = 1,058,857.11
  5. Step 5: Solve for x
    x = 1,058,857.11/933.92
  6. Step 6: Final answer
    x = 1,133.78

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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.