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Finding the Fourth Proportional to 585.80, 809 and 410.84

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Solution

The fourth proportional to 585.80, 809 and 410.84 is: 567.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.80 : 809 = 410.84 : x
  2. Step 2: Convert to fraction form
    585.80/809 = 410.84/x
  3. Step 3: Cross multiply
    585.80x = 809 × 410.84
  4. Step 4: Simplify right side
    585.80x = 332,369.56
  5. Step 5: Solve for x
    x = 332,369.56/585.80
  6. Step 6: Final answer
    x = 567.38

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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.