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Finding the Fourth Proportional to 902.55, 1,344.81 and 862.75

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Solution

The fourth proportional to 902.55, 1,344.81 and 862.75 is: 1,285.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.55 : 1,344.81 = 862.75 : x
  2. Step 2: Convert to fraction form
    902.55/1,344.81 = 862.75/x
  3. Step 3: Cross multiply
    902.55x = 1,344.81 × 862.75
  4. Step 4: Simplify right side
    902.55x = 1,160,239.74
  5. Step 5: Solve for x
    x = 1,160,239.74/902.55
  6. Step 6: Final answer
    x = 1,285.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.