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Finding the Fourth Proportional to 817.30, 1,219.08 and 743.48

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Solution

The fourth proportional to 817.30, 1,219.08 and 743.48 is: 1,108.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.30 : 1,219.08 = 743.48 : x
  2. Step 2: Convert to fraction form
    817.30/1,219.08 = 743.48/x
  3. Step 3: Cross multiply
    817.30x = 1,219.08 × 743.48
  4. Step 4: Simplify right side
    817.30x = 906,365.54
  5. Step 5: Solve for x
    x = 906,365.54/817.30
  6. Step 6: Final answer
    x = 1,108.98

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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.