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Finding the Fourth Proportional to 905.65, 1,249.80 and 512.68

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Solution

The fourth proportional to 905.65, 1,249.80 and 512.68 is: 707.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.65 : 1,249.80 = 512.68 : x
  2. Step 2: Convert to fraction form
    905.65/1,249.80 = 512.68/x
  3. Step 3: Cross multiply
    905.65x = 1,249.80 × 512.68
  4. Step 4: Simplify right side
    905.65x = 640,747.46
  5. Step 5: Solve for x
    x = 640,747.46/905.65
  6. Step 6: Final answer
    x = 707.50

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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.