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Finding the Fourth Proportional to 490.01, 734.33 and 284.63

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Solution

The fourth proportional to 490.01, 734.33 and 284.63 is: 426.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.01 : 734.33 = 284.63 : x
  2. Step 2: Convert to fraction form
    490.01/734.33 = 284.63/x
  3. Step 3: Cross multiply
    490.01x = 734.33 × 284.63
  4. Step 4: Simplify right side
    490.01x = 209,014.90
  5. Step 5: Solve for x
    x = 209,014.90/490.01
  6. Step 6: Final answer
    x = 426.55

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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.