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Finding the Fourth Proportional to 876.31, 1,209.26 and 582.11

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Solution

The fourth proportional to 876.31, 1,209.26 and 582.11 is: 803.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.31 : 1,209.26 = 582.11 : x
  2. Step 2: Convert to fraction form
    876.31/1,209.26 = 582.11/x
  3. Step 3: Cross multiply
    876.31x = 1,209.26 × 582.11
  4. Step 4: Simplify right side
    876.31x = 703,922.34
  5. Step 5: Solve for x
    x = 703,922.34/876.31
  6. Step 6: Final answer
    x = 803.28

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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.