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Finding the Fourth Proportional to 933.91, 1,285.73 and 809.17

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Solution

The fourth proportional to 933.91, 1,285.73 and 809.17 is: 1,114.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.91 : 1,285.73 = 809.17 : x
  2. Step 2: Convert to fraction form
    933.91/1,285.73 = 809.17/x
  3. Step 3: Cross multiply
    933.91x = 1,285.73 × 809.17
  4. Step 4: Simplify right side
    933.91x = 1,040,374.14
  5. Step 5: Solve for x
    x = 1,040,374.14/933.91
  6. Step 6: Final answer
    x = 1,114.00

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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.