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Finding the Fourth Proportional to 869.60, 1,303.25 and 663.54

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Solution

The fourth proportional to 869.60, 1,303.25 and 663.54 is: 994.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.60 : 1,303.25 = 663.54 : x
  2. Step 2: Convert to fraction form
    869.60/1,303.25 = 663.54/x
  3. Step 3: Cross multiply
    869.60x = 1,303.25 × 663.54
  4. Step 4: Simplify right side
    869.60x = 864,755.19
  5. Step 5: Solve for x
    x = 864,755.19/869.60
  6. Step 6: Final answer
    x = 994.43

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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.