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Finding the Fourth Proportional to 873.06, 1,198.51 and 864.86

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Solution

The fourth proportional to 873.06, 1,198.51 and 864.86 is: 1,187.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.06 : 1,198.51 = 864.86 : x
  2. Step 2: Convert to fraction form
    873.06/1,198.51 = 864.86/x
  3. Step 3: Cross multiply
    873.06x = 1,198.51 × 864.86
  4. Step 4: Simplify right side
    873.06x = 1,036,535.20
  5. Step 5: Solve for x
    x = 1,036,535.20/873.06
  6. Step 6: Final answer
    x = 1,187.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.