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Finding the Fourth Proportional to 905.72, 1,357.36 and 672.68

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Solution

The fourth proportional to 905.72, 1,357.36 and 672.68 is: 1,008.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.72 : 1,357.36 = 672.68 : x
  2. Step 2: Convert to fraction form
    905.72/1,357.36 = 672.68/x
  3. Step 3: Cross multiply
    905.72x = 1,357.36 × 672.68
  4. Step 4: Simplify right side
    905.72x = 913,068.92
  5. Step 5: Solve for x
    x = 913,068.92/905.72
  6. Step 6: Final answer
    x = 1,008.11

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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.