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Finding the Fourth Proportional to 584.30, 806.73 and 409.70

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Solution

The fourth proportional to 584.30, 806.73 and 409.70 is: 565.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.30 : 806.73 = 409.70 : x
  2. Step 2: Convert to fraction form
    584.30/806.73 = 409.70/x
  3. Step 3: Cross multiply
    584.30x = 806.73 × 409.70
  4. Step 4: Simplify right side
    584.30x = 330,517.28
  5. Step 5: Solve for x
    x = 330,517.28/584.30
  6. Step 6: Final answer
    x = 565.66

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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.