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Finding the Fourth Proportional to 905.76, 1,249.95 and 512.91

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Solution

The fourth proportional to 905.76, 1,249.95 and 512.91 is: 707.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.76 : 1,249.95 = 512.91 : x
  2. Step 2: Convert to fraction form
    905.76/1,249.95 = 512.91/x
  3. Step 3: Cross multiply
    905.76x = 1,249.95 × 512.91
  4. Step 4: Simplify right side
    905.76x = 641,111.85
  5. Step 5: Solve for x
    x = 641,111.85/905.76
  6. Step 6: Final answer
    x = 707.82

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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.