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Finding the Fourth Proportional to 584.91, 806.90 and 364.12

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Solution

The fourth proportional to 584.91, 806.90 and 364.12 is: 502.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.91 : 806.90 = 364.12 : x
  2. Step 2: Convert to fraction form
    584.91/806.90 = 364.12/x
  3. Step 3: Cross multiply
    584.91x = 806.90 × 364.12
  4. Step 4: Simplify right side
    584.91x = 293,804.59
  5. Step 5: Solve for x
    x = 293,804.59/584.91
  6. Step 6: Final answer
    x = 502.31

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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.