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Finding the Fourth Proportional to 1,153.27, 1,588.73 and 1,082.80

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Solution

The fourth proportional to 1,153.27, 1,588.73 and 1,082.80 is: 1,491.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.27 : 1,588.73 = 1,082.80 : x
  2. Step 2: Convert to fraction form
    1,153.27/1,588.73 = 1,082.80/x
  3. Step 3: Cross multiply
    1,153.27x = 1,588.73 × 1,082.80
  4. Step 4: Simplify right side
    1,153.27x = 1,720,276.84
  5. Step 5: Solve for x
    x = 1,720,276.84/1,153.27
  6. Step 6: Final answer
    x = 1,491.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.