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Finding the Fourth Proportional to 489.89, 733.71 and 283.95

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Solution

The fourth proportional to 489.89, 733.71 and 283.95 is: 425.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.89 : 733.71 = 283.95 : x
  2. Step 2: Convert to fraction form
    489.89/733.71 = 283.95/x
  3. Step 3: Cross multiply
    489.89x = 733.71 × 283.95
  4. Step 4: Simplify right side
    489.89x = 208,331.87
  5. Step 5: Solve for x
    x = 208,331.87/489.89
  6. Step 6: Final answer
    x = 425.26

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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.