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Finding the Fourth Proportional to 490.99, 677.62 and 314.11

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Solution

The fourth proportional to 490.99, 677.62 and 314.11 is: 433.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.99 : 677.62 = 314.11 : x
  2. Step 2: Convert to fraction form
    490.99/677.62 = 314.11/x
  3. Step 3: Cross multiply
    490.99x = 677.62 × 314.11
  4. Step 4: Simplify right side
    490.99x = 212,848.91
  5. Step 5: Solve for x
    x = 212,848.91/490.99
  6. Step 6: Final answer
    x = 433.51

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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.