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Finding the Fourth Proportional to 905.84, 1,356.60 and 663.92

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Solution

The fourth proportional to 905.84, 1,356.60 and 663.92 is: 994.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.84 : 1,356.60 = 663.92 : x
  2. Step 2: Convert to fraction form
    905.84/1,356.60 = 663.92/x
  3. Step 3: Cross multiply
    905.84x = 1,356.60 × 663.92
  4. Step 4: Simplify right side
    905.84x = 900,673.87
  5. Step 5: Solve for x
    x = 900,673.87/905.84
  6. Step 6: Final answer
    x = 994.30

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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.