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Finding the Fourth Proportional to 498.48, 688.23 and 321.52

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Solution

The fourth proportional to 498.48, 688.23 and 321.52 is: 443.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.48 : 688.23 = 321.52 : x
  2. Step 2: Convert to fraction form
    498.48/688.23 = 321.52/x
  3. Step 3: Cross multiply
    498.48x = 688.23 × 321.52
  4. Step 4: Simplify right side
    498.48x = 221,279.71
  5. Step 5: Solve for x
    x = 221,279.71/498.48
  6. Step 6: Final answer
    x = 443.91

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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.