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Finding the Fourth Proportional to 424.62, 582.86 and 391.81

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Solution

The fourth proportional to 424.62, 582.86 and 391.81 is: 537.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.62 : 582.86 = 391.81 : x
  2. Step 2: Convert to fraction form
    424.62/582.86 = 391.81/x
  3. Step 3: Cross multiply
    424.62x = 582.86 × 391.81
  4. Step 4: Simplify right side
    424.62x = 228,370.38
  5. Step 5: Solve for x
    x = 228,370.38/424.62
  6. Step 6: Final answer
    x = 537.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.