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Finding the Fourth Proportional to 489.38, 734.03 and 283.80

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Solution

The fourth proportional to 489.38, 734.03 and 283.80 is: 425.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.38 : 734.03 = 283.80 : x
  2. Step 2: Convert to fraction form
    489.38/734.03 = 283.80/x
  3. Step 3: Cross multiply
    489.38x = 734.03 × 283.80
  4. Step 4: Simplify right side
    489.38x = 208,320.11
  5. Step 5: Solve for x
    x = 208,320.11/489.38
  6. Step 6: Final answer
    x = 425.69

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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.