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Finding the Fourth Proportional to 829.68, 1,144.08 and 672

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Solution

The fourth proportional to 829.68, 1,144.08 and 672 is: 926.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.68 : 1,144.08 = 672 : x
  2. Step 2: Convert to fraction form
    829.68/1,144.08 = 672/x
  3. Step 3: Cross multiply
    829.68x = 1,144.08 × 672
  4. Step 4: Simplify right side
    829.68x = 768,821.76
  5. Step 5: Solve for x
    x = 768,821.76/829.68
  6. Step 6: Final answer
    x = 926.65

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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.