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Finding the Fourth Proportional to 869.28, 1,297.56 and 754.53

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Solution

The fourth proportional to 869.28, 1,297.56 and 754.53 is: 1,126.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.28 : 1,297.56 = 754.53 : x
  2. Step 2: Convert to fraction form
    869.28/1,297.56 = 754.53/x
  3. Step 3: Cross multiply
    869.28x = 1,297.56 × 754.53
  4. Step 4: Simplify right side
    869.28x = 979,047.95
  5. Step 5: Solve for x
    x = 979,047.95/869.28
  6. Step 6: Final answer
    x = 1,126.27

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1.5x scale

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.