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Finding the Fourth Proportional to 806.80, 1,114.24 and 633.46

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Solution

The fourth proportional to 806.80, 1,114.24 and 633.46 is: 874.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.80 : 1,114.24 = 633.46 : x
  2. Step 2: Convert to fraction form
    806.80/1,114.24 = 633.46/x
  3. Step 3: Cross multiply
    806.80x = 1,114.24 × 633.46
  4. Step 4: Simplify right side
    806.80x = 705,826.47
  5. Step 5: Solve for x
    x = 705,826.47/806.80
  6. Step 6: Final answer
    x = 874.85

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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.