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Finding the Fourth Proportional to 905.14, 1,362.67 and 663.40

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Solution

The fourth proportional to 905.14, 1,362.67 and 663.40 is: 998.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.14 : 1,362.67 = 663.40 : x
  2. Step 2: Convert to fraction form
    905.14/1,362.67 = 663.40/x
  3. Step 3: Cross multiply
    905.14x = 1,362.67 × 663.40
  4. Step 4: Simplify right side
    905.14x = 903,995.28
  5. Step 5: Solve for x
    x = 903,995.28/905.14
  6. Step 6: Final answer
    x = 998.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.