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Finding the Fourth Proportional to 492.14, 679.62 and 421.79

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Solution

The fourth proportional to 492.14, 679.62 and 421.79 is: 582.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.14 : 679.62 = 421.79 : x
  2. Step 2: Convert to fraction form
    492.14/679.62 = 421.79/x
  3. Step 3: Cross multiply
    492.14x = 679.62 × 421.79
  4. Step 4: Simplify right side
    492.14x = 286,656.92
  5. Step 5: Solve for x
    x = 286,656.92/492.14
  6. Step 6: Final answer
    x = 582.47

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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.