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Finding the Fourth Proportional to 902.56, 1,358.92 and 823

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Solution

The fourth proportional to 902.56, 1,358.92 and 823 is: 1,239.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.56 : 1,358.92 = 823 : x
  2. Step 2: Convert to fraction form
    902.56/1,358.92 = 823/x
  3. Step 3: Cross multiply
    902.56x = 1,358.92 × 823
  4. Step 4: Simplify right side
    902.56x = 1,118,391.16
  5. Step 5: Solve for x
    x = 1,118,391.16/902.56
  6. Step 6: Final answer
    x = 1,239.13

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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.