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Finding the Fourth Proportional to 829.20, 1,143 and 672.06

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Solution

The fourth proportional to 829.20, 1,143 and 672.06 is: 926.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.20 : 1,143 = 672.06 : x
  2. Step 2: Convert to fraction form
    829.20/1,143 = 672.06/x
  3. Step 3: Cross multiply
    829.20x = 1,143 × 672.06
  4. Step 4: Simplify right side
    829.20x = 768,164.58
  5. Step 5: Solve for x
    x = 768,164.58/829.20
  6. Step 6: Final answer
    x = 926.39

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1.5x scale

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.