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Finding the Fourth Proportional to 497.26, 686.03 and 320.20

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Solution

The fourth proportional to 497.26, 686.03 and 320.20 is: 441.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.26 : 686.03 = 320.20 : x
  2. Step 2: Convert to fraction form
    497.26/686.03 = 320.20/x
  3. Step 3: Cross multiply
    497.26x = 686.03 × 320.20
  4. Step 4: Simplify right side
    497.26x = 219,663.49
  5. Step 5: Solve for x
    x = 219,663.49/497.26
  6. Step 6: Final answer
    x = 441.75

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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.