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Finding the Fourth Proportional to 498.24, 687.58 and 301.76

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Solution

The fourth proportional to 498.24, 687.58 and 301.76 is: 416.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.24 : 687.58 = 301.76 : x
  2. Step 2: Convert to fraction form
    498.24/687.58 = 301.76/x
  3. Step 3: Cross multiply
    498.24x = 687.58 × 301.76
  4. Step 4: Simplify right side
    498.24x = 207,484.14
  5. Step 5: Solve for x
    x = 207,484.14/498.24
  6. Step 6: Final answer
    x = 416.43

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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.