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Finding the Fourth Proportional to 489.63, 733.94 and 258.38

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Solution

The fourth proportional to 489.63, 733.94 and 258.38 is: 387.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.63 : 733.94 = 258.38 : x
  2. Step 2: Convert to fraction form
    489.63/733.94 = 258.38/x
  3. Step 3: Cross multiply
    489.63x = 733.94 × 258.38
  4. Step 4: Simplify right side
    489.63x = 189,635.42
  5. Step 5: Solve for x
    x = 189,635.42/489.63
  6. Step 6: Final answer
    x = 387.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.