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Finding the Fourth Proportional to 817.54, 1,128.20 and 444.52

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Solution

The fourth proportional to 817.54, 1,128.20 and 444.52 is: 613.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.54 : 1,128.20 = 444.52 : x
  2. Step 2: Convert to fraction form
    817.54/1,128.20 = 444.52/x
  3. Step 3: Cross multiply
    817.54x = 1,128.20 × 444.52
  4. Step 4: Simplify right side
    817.54x = 501,507.46
  5. Step 5: Solve for x
    x = 501,507.46/817.54
  6. Step 6: Final answer
    x = 613.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.