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Finding the Fourth Proportional to 489.79, 733.27 and 381.25

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Solution

The fourth proportional to 489.79, 733.27 and 381.25 is: 570.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.79 : 733.27 = 381.25 : x
  2. Step 2: Convert to fraction form
    489.79/733.27 = 381.25/x
  3. Step 3: Cross multiply
    489.79x = 733.27 × 381.25
  4. Step 4: Simplify right side
    489.79x = 279,559.19
  5. Step 5: Solve for x
    x = 279,559.19/489.79
  6. Step 6: Final answer
    x = 570.77

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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.