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Finding the Fourth Proportional to 491.22, 677.82 and 314.23

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Solution

The fourth proportional to 491.22, 677.82 and 314.23 is: 433.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.22 : 677.82 = 314.23 : x
  2. Step 2: Convert to fraction form
    491.22/677.82 = 314.23/x
  3. Step 3: Cross multiply
    491.22x = 677.82 × 314.23
  4. Step 4: Simplify right side
    491.22x = 212,991.38
  5. Step 5: Solve for x
    x = 212,991.38/491.22
  6. Step 6: Final answer
    x = 433.60

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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.