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Finding the Fourth Proportional to 808, 1,115.06 and 572.36

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Solution

The fourth proportional to 808, 1,115.06 and 572.36 is: 789.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    808 : 1,115.06 = 572.36 : x
  2. Step 2: Convert to fraction form
    808/1,115.06 = 572.36/x
  3. Step 3: Cross multiply
    808x = 1,115.06 × 572.36
  4. Step 4: Simplify right side
    808x = 638,215.74
  5. Step 5: Solve for x
    x = 638,215.74/808
  6. Step 6: Final answer
    x = 789.87

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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.