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Finding the Fourth Proportional to 585.50, 806.62 and 408.16

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Solution

The fourth proportional to 585.50, 806.62 and 408.16 is: 562.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.50 : 806.62 = 408.16 : x
  2. Step 2: Convert to fraction form
    585.50/806.62 = 408.16/x
  3. Step 3: Cross multiply
    585.50x = 806.62 × 408.16
  4. Step 4: Simplify right side
    585.50x = 329,230.02
  5. Step 5: Solve for x
    x = 329,230.02/585.50
  6. Step 6: Final answer
    x = 562.31

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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.