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Finding the Fourth Proportional to 498.96, 687.84 and 367.92

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Solution

The fourth proportional to 498.96, 687.84 and 367.92 is: 507.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.96 : 687.84 = 367.92 : x
  2. Step 2: Convert to fraction form
    498.96/687.84 = 367.92/x
  3. Step 3: Cross multiply
    498.96x = 687.84 × 367.92
  4. Step 4: Simplify right side
    498.96x = 253,070.09
  5. Step 5: Solve for x
    x = 253,070.09/498.96
  6. Step 6: Final answer
    x = 507.20

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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.