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Finding the Fourth Proportional to 490.23, 736.37 and 473.84

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Solution

The fourth proportional to 490.23, 736.37 and 473.84 is: 711.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.23 : 736.37 = 473.84 : x
  2. Step 2: Convert to fraction form
    490.23/736.37 = 473.84/x
  3. Step 3: Cross multiply
    490.23x = 736.37 × 473.84
  4. Step 4: Simplify right side
    490.23x = 348,915.51
  5. Step 5: Solve for x
    x = 348,915.51/490.23
  6. Step 6: Final answer
    x = 711.74

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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.