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Finding the Fourth Proportional to 490.47, 734.57 and 284.52

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Solution

The fourth proportional to 490.47, 734.57 and 284.52 is: 426.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.47 : 734.57 = 284.52 : x
  2. Step 2: Convert to fraction form
    490.47/734.57 = 284.52/x
  3. Step 3: Cross multiply
    490.47x = 734.57 × 284.52
  4. Step 4: Simplify right side
    490.47x = 208,999.86
  5. Step 5: Solve for x
    x = 208,999.86/490.47
  6. Step 6: Final answer
    x = 426.12

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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.