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Finding the Fourth Proportional to 801.37, 1,104.13 and 538.93

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Solution

The fourth proportional to 801.37, 1,104.13 and 538.93 is: 742.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.37 : 1,104.13 = 538.93 : x
  2. Step 2: Convert to fraction form
    801.37/1,104.13 = 538.93/x
  3. Step 3: Cross multiply
    801.37x = 1,104.13 × 538.93
  4. Step 4: Simplify right side
    801.37x = 595,048.78
  5. Step 5: Solve for x
    x = 595,048.78/801.37
  6. Step 6: Final answer
    x = 742.54

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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.