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Finding the Fourth Proportional to 808.52, 1,115.57 and 514.22

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Solution

The fourth proportional to 808.52, 1,115.57 and 514.22 is: 709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.52 : 1,115.57 = 514.22 : x
  2. Step 2: Convert to fraction form
    808.52/1,115.57 = 514.22/x
  3. Step 3: Cross multiply
    808.52x = 1,115.57 × 514.22
  4. Step 4: Simplify right side
    808.52x = 573,644.11
  5. Step 5: Solve for x
    x = 573,644.11/808.52
  6. Step 6: Final answer
    x = 709.50

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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.