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Finding the Fourth Proportional to 820.71, 1,230.26 and 387.09

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Solution

The fourth proportional to 820.71, 1,230.26 and 387.09 is: 580.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.71 : 1,230.26 = 387.09 : x
  2. Step 2: Convert to fraction form
    820.71/1,230.26 = 387.09/x
  3. Step 3: Cross multiply
    820.71x = 1,230.26 × 387.09
  4. Step 4: Simplify right side
    820.71x = 476,219.41
  5. Step 5: Solve for x
    x = 476,219.41/820.71
  6. Step 6: Final answer
    x = 580.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.