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Finding the Fourth Proportional to 851.15, 1,180.03 and 821.08

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Solution

The fourth proportional to 851.15, 1,180.03 and 821.08 is: 1,138.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.15 : 1,180.03 = 821.08 : x
  2. Step 2: Convert to fraction form
    851.15/1,180.03 = 821.08/x
  3. Step 3: Cross multiply
    851.15x = 1,180.03 × 821.08
  4. Step 4: Simplify right side
    851.15x = 968,899.03
  5. Step 5: Solve for x
    x = 968,899.03/851.15
  6. Step 6: Final answer
    x = 1,138.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.