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Finding the Fourth Proportional to 490.59, 737.28 and 472.41

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Solution

The fourth proportional to 490.59, 737.28 and 472.41 is: 709.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.59 : 737.28 = 472.41 : x
  2. Step 2: Convert to fraction form
    490.59/737.28 = 472.41/x
  3. Step 3: Cross multiply
    490.59x = 737.28 × 472.41
  4. Step 4: Simplify right side
    490.59x = 348,298.44
  5. Step 5: Solve for x
    x = 348,298.44/490.59
  6. Step 6: Final answer
    x = 709.96

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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.