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Finding the Fourth Proportional to 488.73, 674.36 and 292.19

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Solution

The fourth proportional to 488.73, 674.36 and 292.19 is: 403.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.73 : 674.36 = 292.19 : x
  2. Step 2: Convert to fraction form
    488.73/674.36 = 292.19/x
  3. Step 3: Cross multiply
    488.73x = 674.36 × 292.19
  4. Step 4: Simplify right side
    488.73x = 197,041.25
  5. Step 5: Solve for x
    x = 197,041.25/488.73
  6. Step 6: Final answer
    x = 403.17

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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.