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Finding the Fourth Proportional to 800.25, 1,104.68 and 538.42

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Solution

The fourth proportional to 800.25, 1,104.68 and 538.42 is: 743.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.25 : 1,104.68 = 538.42 : x
  2. Step 2: Convert to fraction form
    800.25/1,104.68 = 538.42/x
  3. Step 3: Cross multiply
    800.25x = 1,104.68 × 538.42
  4. Step 4: Simplify right side
    800.25x = 594,781.81
  5. Step 5: Solve for x
    x = 594,781.81/800.25
  6. Step 6: Final answer
    x = 743.24

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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.