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Finding the Fourth Proportional to 801.37, 1,105.55 and 465.25

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Solution

The fourth proportional to 801.37, 1,105.55 and 465.25 is: 641.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.37 : 1,105.55 = 465.25 : x
  2. Step 2: Convert to fraction form
    801.37/1,105.55 = 465.25/x
  3. Step 3: Cross multiply
    801.37x = 1,105.55 × 465.25
  4. Step 4: Simplify right side
    801.37x = 514,357.14
  5. Step 5: Solve for x
    x = 514,357.14/801.37
  6. Step 6: Final answer
    x = 641.85

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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.