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Finding the Fourth Proportional to 585.60, 808.56 and 411.18

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Solution

The fourth proportional to 585.60, 808.56 and 411.18 is: 567.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.60 : 808.56 = 411.18 : x
  2. Step 2: Convert to fraction form
    585.60/808.56 = 411.18/x
  3. Step 3: Cross multiply
    585.60x = 808.56 × 411.18
  4. Step 4: Simplify right side
    585.60x = 332,463.70
  5. Step 5: Solve for x
    x = 332,463.70/585.60
  6. Step 6: Final answer
    x = 567.73

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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.