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Finding the Fourth Proportional to 498.40, 688 and 332.86

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Solution

The fourth proportional to 498.40, 688 and 332.86 is: 459.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.40 : 688 = 332.86 : x
  2. Step 2: Convert to fraction form
    498.40/688 = 332.86/x
  3. Step 3: Cross multiply
    498.40x = 688 × 332.86
  4. Step 4: Simplify right side
    498.40x = 229,007.68
  5. Step 5: Solve for x
    x = 229,007.68/498.40
  6. Step 6: Final answer
    x = 459.49

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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.