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Finding the Fourth Proportional to 1,102.24, 1,644.11 and 1,012.69

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Solution

The fourth proportional to 1,102.24, 1,644.11 and 1,012.69 is: 1,510.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.24 : 1,644.11 = 1,012.69 : x
  2. Step 2: Convert to fraction form
    1,102.24/1,644.11 = 1,012.69/x
  3. Step 3: Cross multiply
    1,102.24x = 1,644.11 × 1,012.69
  4. Step 4: Simplify right side
    1,102.24x = 1,664,964.58
  5. Step 5: Solve for x
    x = 1,664,964.58/1,102.24
  6. Step 6: Final answer
    x = 1,510.53

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