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Finding the Fourth Proportional to 905.81, 1,250.03 and 512.83

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Solution

The fourth proportional to 905.81, 1,250.03 and 512.83 is: 707.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.81 : 1,250.03 = 512.83 : x
  2. Step 2: Convert to fraction form
    905.81/1,250.03 = 512.83/x
  3. Step 3: Cross multiply
    905.81x = 1,250.03 × 512.83
  4. Step 4: Simplify right side
    905.81x = 641,051.04
  5. Step 5: Solve for x
    x = 641,051.04/905.81
  6. Step 6: Final answer
    x = 707.71

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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.