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Finding the Fourth Proportional to 1,103.01, 1,522.41 and 709.35

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Solution

The fourth proportional to 1,103.01, 1,522.41 and 709.35 is: 979.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.01 : 1,522.41 = 709.35 : x
  2. Step 2: Convert to fraction form
    1,103.01/1,522.41 = 709.35/x
  3. Step 3: Cross multiply
    1,103.01x = 1,522.41 × 709.35
  4. Step 4: Simplify right side
    1,103.01x = 1,079,921.53
  5. Step 5: Solve for x
    x = 1,079,921.53/1,103.01
  6. Step 6: Final answer
    x = 979.07

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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.