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Finding the Fourth Proportional to 423.79, 584.31 and 364.66

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Solution

The fourth proportional to 423.79, 584.31 and 364.66 is: 502.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.79 : 584.31 = 364.66 : x
  2. Step 2: Convert to fraction form
    423.79/584.31 = 364.66/x
  3. Step 3: Cross multiply
    423.79x = 584.31 × 364.66
  4. Step 4: Simplify right side
    423.79x = 213,074.48
  5. Step 5: Solve for x
    x = 213,074.48/423.79
  6. Step 6: Final answer
    x = 502.78

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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.