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Finding the Fourth Proportional to 497.56, 686.69 and 298.45

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Solution

The fourth proportional to 497.56, 686.69 and 298.45 is: 411.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.56 : 686.69 = 298.45 : x
  2. Step 2: Convert to fraction form
    497.56/686.69 = 298.45/x
  3. Step 3: Cross multiply
    497.56x = 686.69 × 298.45
  4. Step 4: Simplify right side
    497.56x = 204,937.70
  5. Step 5: Solve for x
    x = 204,937.70/497.56
  6. Step 6: Final answer
    x = 411.89

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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.