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Finding the Fourth Proportional to 905.47, 1,249.60 and 551.34

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Solution

The fourth proportional to 905.47, 1,249.60 and 551.34 is: 760.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.47 : 1,249.60 = 551.34 : x
  2. Step 2: Convert to fraction form
    905.47/1,249.60 = 551.34/x
  3. Step 3: Cross multiply
    905.47x = 1,249.60 × 551.34
  4. Step 4: Simplify right side
    905.47x = 688,951.34
  5. Step 5: Solve for x
    x = 688,951.34/905.47
  6. Step 6: Final answer
    x = 760.87

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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.