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Finding the Fourth Proportional to 491.09, 677.48 and 313.97

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Solution

The fourth proportional to 491.09, 677.48 and 313.97 is: 433.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.09 : 677.48 = 313.97 : x
  2. Step 2: Convert to fraction form
    491.09/677.48 = 313.97/x
  3. Step 3: Cross multiply
    491.09x = 677.48 × 313.97
  4. Step 4: Simplify right side
    491.09x = 212,703.44
  5. Step 5: Solve for x
    x = 212,703.44/491.09
  6. Step 6: Final answer
    x = 433.13

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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.