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Finding the Fourth Proportional to 585.85, 808.86 and 408.76

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Solution

The fourth proportional to 585.85, 808.86 and 408.76 is: 564.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.85 : 808.86 = 408.76 : x
  2. Step 2: Convert to fraction form
    585.85/808.86 = 408.76/x
  3. Step 3: Cross multiply
    585.85x = 808.86 × 408.76
  4. Step 4: Simplify right side
    585.85x = 330,629.61
  5. Step 5: Solve for x
    x = 330,629.61/585.85
  6. Step 6: Final answer
    x = 564.36

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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.