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Finding the Fourth Proportional to 672.96, 927.84 and 488.64

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Solution

The fourth proportional to 672.96, 927.84 and 488.64 is: 673.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.96 : 927.84 = 488.64 : x
  2. Step 2: Convert to fraction form
    672.96/927.84 = 488.64/x
  3. Step 3: Cross multiply
    672.96x = 927.84 × 488.64
  4. Step 4: Simplify right side
    672.96x = 453,379.74
  5. Step 5: Solve for x
    x = 453,379.74/672.96
  6. Step 6: Final answer
    x = 673.71

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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.