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Finding the Fourth Proportional to 1,491.27, 2,237.63 and 614.42

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Solution

The fourth proportional to 1,491.27, 2,237.63 and 614.42 is: 921.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.27 : 2,237.63 = 614.42 : x
  2. Step 2: Convert to fraction form
    1,491.27/2,237.63 = 614.42/x
  3. Step 3: Cross multiply
    1,491.27x = 2,237.63 × 614.42
  4. Step 4: Simplify right side
    1,491.27x = 1,374,830.36
  5. Step 5: Solve for x
    x = 1,374,830.36/1,491.27
  6. Step 6: Final answer
    x = 921.92

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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.