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Finding the Fourth Proportional to 498.52, 687.79 and 332.84

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Solution

The fourth proportional to 498.52, 687.79 and 332.84 is: 459.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.52 : 687.79 = 332.84 : x
  2. Step 2: Convert to fraction form
    498.52/687.79 = 332.84/x
  3. Step 3: Cross multiply
    498.52x = 687.79 × 332.84
  4. Step 4: Simplify right side
    498.52x = 228,926.16
  5. Step 5: Solve for x
    x = 228,926.16/498.52
  6. Step 6: Final answer
    x = 459.21

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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.