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Finding the Fourth Proportional to 869.56, 1,297.60 and 777.27

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Solution

The fourth proportional to 869.56, 1,297.60 and 777.27 is: 1,159.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.56 : 1,297.60 = 777.27 : x
  2. Step 2: Convert to fraction form
    869.56/1,297.60 = 777.27/x
  3. Step 3: Cross multiply
    869.56x = 1,297.60 × 777.27
  4. Step 4: Simplify right side
    869.56x = 1,008,585.55
  5. Step 5: Solve for x
    x = 1,008,585.55/869.56
  6. Step 6: Final answer
    x = 1,159.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.