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Finding the Fourth Proportional to 816.27, 1,219.68 and 583.90

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Solution

The fourth proportional to 816.27, 1,219.68 and 583.90 is: 872.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.27 : 1,219.68 = 583.90 : x
  2. Step 2: Convert to fraction form
    816.27/1,219.68 = 583.90/x
  3. Step 3: Cross multiply
    816.27x = 1,219.68 × 583.90
  4. Step 4: Simplify right side
    816.27x = 712,171.15
  5. Step 5: Solve for x
    x = 712,171.15/816.27
  6. Step 6: Final answer
    x = 872.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.