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Finding the Fourth Proportional to 488.54, 673.39 and 340.92

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Solution

The fourth proportional to 488.54, 673.39 and 340.92 is: 469.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.54 : 673.39 = 340.92 : x
  2. Step 2: Convert to fraction form
    488.54/673.39 = 340.92/x
  3. Step 3: Cross multiply
    488.54x = 673.39 × 340.92
  4. Step 4: Simplify right side
    488.54x = 229,572.12
  5. Step 5: Solve for x
    x = 229,572.12/488.54
  6. Step 6: Final answer
    x = 469.91

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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.