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Finding the Fourth Proportional to 499.23, 687.54 and 488.47

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Solution

The fourth proportional to 499.23, 687.54 and 488.47 is: 672.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.23 : 687.54 = 488.47 : x
  2. Step 2: Convert to fraction form
    499.23/687.54 = 488.47/x
  3. Step 3: Cross multiply
    499.23x = 687.54 × 488.47
  4. Step 4: Simplify right side
    499.23x = 335,842.66
  5. Step 5: Solve for x
    x = 335,842.66/499.23
  6. Step 6: Final answer
    x = 672.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.