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Finding the Fourth Proportional to 1,126.75, 1,687.56 and 921.01

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Solution

The fourth proportional to 1,126.75, 1,687.56 and 921.01 is: 1,379.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.75 : 1,687.56 = 921.01 : x
  2. Step 2: Convert to fraction form
    1,126.75/1,687.56 = 921.01/x
  3. Step 3: Cross multiply
    1,126.75x = 1,687.56 × 921.01
  4. Step 4: Simplify right side
    1,126.75x = 1,554,259.64
  5. Step 5: Solve for x
    x = 1,554,259.64/1,126.75
  6. Step 6: Final answer
    x = 1,379.42

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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.