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Finding the Fourth Proportional to 817.64, 1,228.70 and 600.52

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Solution

The fourth proportional to 817.64, 1,228.70 and 600.52 is: 902.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.64 : 1,228.70 = 600.52 : x
  2. Step 2: Convert to fraction form
    817.64/1,228.70 = 600.52/x
  3. Step 3: Cross multiply
    817.64x = 1,228.70 × 600.52
  4. Step 4: Simplify right side
    817.64x = 737,858.92
  5. Step 5: Solve for x
    x = 737,858.92/817.64
  6. Step 6: Final answer
    x = 902.43

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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.