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Finding the Fourth Proportional to 491.61, 679.02 and 367.82

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Solution

The fourth proportional to 491.61, 679.02 and 367.82 is: 508.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.61 : 679.02 = 367.82 : x
  2. Step 2: Convert to fraction form
    491.61/679.02 = 367.82/x
  3. Step 3: Cross multiply
    491.61x = 679.02 × 367.82
  4. Step 4: Simplify right side
    491.61x = 249,757.14
  5. Step 5: Solve for x
    x = 249,757.14/491.61
  6. Step 6: Final answer
    x = 508.04

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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.