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Finding the Fourth Proportional to 493.13, 679.69 and 318.17

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Solution

The fourth proportional to 493.13, 679.69 and 318.17 is: 438.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.13 : 679.69 = 318.17 : x
  2. Step 2: Convert to fraction form
    493.13/679.69 = 318.17/x
  3. Step 3: Cross multiply
    493.13x = 679.69 × 318.17
  4. Step 4: Simplify right side
    493.13x = 216,256.97
  5. Step 5: Solve for x
    x = 216,256.97/493.13
  6. Step 6: Final answer
    x = 438.54

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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.