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Finding the Fourth Proportional to 806.82, 1,112.55 and 527.30

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Solution

The fourth proportional to 806.82, 1,112.55 and 527.30 is: 727.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.82 : 1,112.55 = 527.30 : x
  2. Step 2: Convert to fraction form
    806.82/1,112.55 = 527.30/x
  3. Step 3: Cross multiply
    806.82x = 1,112.55 × 527.30
  4. Step 4: Simplify right side
    806.82x = 586,642.05
  5. Step 5: Solve for x
    x = 586,642.05/806.82
  6. Step 6: Final answer
    x = 727.10

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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.