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Finding the Fourth Proportional to 488.38, 673.96 and 313.72

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Solution

The fourth proportional to 488.38, 673.96 and 313.72 is: 432.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.38 : 673.96 = 313.72 : x
  2. Step 2: Convert to fraction form
    488.38/673.96 = 313.72/x
  3. Step 3: Cross multiply
    488.38x = 673.96 × 313.72
  4. Step 4: Simplify right side
    488.38x = 211,434.73
  5. Step 5: Solve for x
    x = 211,434.73/488.38
  6. Step 6: Final answer
    x = 432.93

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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.