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Finding the Fourth Proportional to 905.39, 1,358.09 and 582.81

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Solution

The fourth proportional to 905.39, 1,358.09 and 582.81 is: 874.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.39 : 1,358.09 = 582.81 : x
  2. Step 2: Convert to fraction form
    905.39/1,358.09 = 582.81/x
  3. Step 3: Cross multiply
    905.39x = 1,358.09 × 582.81
  4. Step 4: Simplify right side
    905.39x = 791,512.59
  5. Step 5: Solve for x
    x = 791,512.59/905.39
  6. Step 6: Final answer
    x = 874.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.