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Finding the Fourth Proportional to 1,078.83, 1,616.86 and 531.17

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Solution

The fourth proportional to 1,078.83, 1,616.86 and 531.17 is: 796.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.83 : 1,616.86 = 531.17 : x
  2. Step 2: Convert to fraction form
    1,078.83/1,616.86 = 531.17/x
  3. Step 3: Cross multiply
    1,078.83x = 1,616.86 × 531.17
  4. Step 4: Simplify right side
    1,078.83x = 858,827.53
  5. Step 5: Solve for x
    x = 858,827.53/1,078.83
  6. Step 6: Final answer
    x = 796.07

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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.