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Finding the Fourth Proportional to 497.28, 686.33 and 320.19

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Solution

The fourth proportional to 497.28, 686.33 and 320.19 is: 441.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.28 : 686.33 = 320.19 : x
  2. Step 2: Convert to fraction form
    497.28/686.33 = 320.19/x
  3. Step 3: Cross multiply
    497.28x = 686.33 × 320.19
  4. Step 4: Simplify right side
    497.28x = 219,754.40
  5. Step 5: Solve for x
    x = 219,754.40/497.28
  6. Step 6: Final answer
    x = 441.91

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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.