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Finding the Fourth Proportional to 801.08, 1,201.62 and 684.77

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Solution

The fourth proportional to 801.08, 1,201.62 and 684.77 is: 1,027.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.08 : 1,201.62 = 684.77 : x
  2. Step 2: Convert to fraction form
    801.08/1,201.62 = 684.77/x
  3. Step 3: Cross multiply
    801.08x = 1,201.62 × 684.77
  4. Step 4: Simplify right side
    801.08x = 822,827.32
  5. Step 5: Solve for x
    x = 822,827.32/801.08
  6. Step 6: Final answer
    x = 1,027.15

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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.