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Finding the Fourth Proportional to 584.51, 806.37 and 410.09

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Solution

The fourth proportional to 584.51, 806.37 and 410.09 is: 565.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.51 : 806.37 = 410.09 : x
  2. Step 2: Convert to fraction form
    584.51/806.37 = 410.09/x
  3. Step 3: Cross multiply
    584.51x = 806.37 × 410.09
  4. Step 4: Simplify right side
    584.51x = 330,684.27
  5. Step 5: Solve for x
    x = 330,684.27/584.51
  6. Step 6: Final answer
    x = 565.75

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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.