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Finding the Fourth Proportional to 498.04, 687 and 320.92

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Solution

The fourth proportional to 498.04, 687 and 320.92 is: 442.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.04 : 687 = 320.92 : x
  2. Step 2: Convert to fraction form
    498.04/687 = 320.92/x
  3. Step 3: Cross multiply
    498.04x = 687 × 320.92
  4. Step 4: Simplify right side
    498.04x = 220,472.04
  5. Step 5: Solve for x
    x = 220,472.04/498.04
  6. Step 6: Final answer
    x = 442.68

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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.