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Finding the Fourth Proportional to 811.71, 1,221.90 and 582.21

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Solution

The fourth proportional to 811.71, 1,221.90 and 582.21 is: 876.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.71 : 1,221.90 = 582.21 : x
  2. Step 2: Convert to fraction form
    811.71/1,221.90 = 582.21/x
  3. Step 3: Cross multiply
    811.71x = 1,221.90 × 582.21
  4. Step 4: Simplify right side
    811.71x = 711,402.40
  5. Step 5: Solve for x
    x = 711,402.40/811.71
  6. Step 6: Final answer
    x = 876.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.