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Finding the Fourth Proportional to 497.77, 686.99 and 298.62

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Solution

The fourth proportional to 497.77, 686.99 and 298.62 is: 412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.77 : 686.99 = 298.62 : x
  2. Step 2: Convert to fraction form
    497.77/686.99 = 298.62/x
  3. Step 3: Cross multiply
    497.77x = 686.99 × 298.62
  4. Step 4: Simplify right side
    497.77x = 205,149.70
  5. Step 5: Solve for x
    x = 205,149.70/497.77
  6. Step 6: Final answer
    x = 412.14

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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.