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Finding the Fourth Proportional to 523.72, 718.49 and 490.60

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Solution

The fourth proportional to 523.72, 718.49 and 490.60 is: 673.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.72 : 718.49 = 490.60 : x
  2. Step 2: Convert to fraction form
    523.72/718.49 = 490.60/x
  3. Step 3: Cross multiply
    523.72x = 718.49 × 490.60
  4. Step 4: Simplify right side
    523.72x = 352,491.19
  5. Step 5: Solve for x
    x = 352,491.19/523.72
  6. Step 6: Final answer
    x = 673.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.