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Finding the Fourth Proportional to 903.64, 1,245.18 and 869.56

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Solution

The fourth proportional to 903.64, 1,245.18 and 869.56 is: 1,198.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.64 : 1,245.18 = 869.56 : x
  2. Step 2: Convert to fraction form
    903.64/1,245.18 = 869.56/x
  3. Step 3: Cross multiply
    903.64x = 1,245.18 × 869.56
  4. Step 4: Simplify right side
    903.64x = 1,082,758.72
  5. Step 5: Solve for x
    x = 1,082,758.72/903.64
  6. Step 6: Final answer
    x = 1,198.22

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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.