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Finding the Fourth Proportional to 672.09, 927.06 and 423.20

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Solution

The fourth proportional to 672.09, 927.06 and 423.20 is: 583.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.09 : 927.06 = 423.20 : x
  2. Step 2: Convert to fraction form
    672.09/927.06 = 423.20/x
  3. Step 3: Cross multiply
    672.09x = 927.06 × 423.20
  4. Step 4: Simplify right side
    672.09x = 392,331.79
  5. Step 5: Solve for x
    x = 392,331.79/672.09
  6. Step 6: Final answer
    x = 583.75

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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.