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Finding the Fourth Proportional to 1,121.53, 1,682.76 and 601.39

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Solution

The fourth proportional to 1,121.53, 1,682.76 and 601.39 is: 902.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.53 : 1,682.76 = 601.39 : x
  2. Step 2: Convert to fraction form
    1,121.53/1,682.76 = 601.39/x
  3. Step 3: Cross multiply
    1,121.53x = 1,682.76 × 601.39
  4. Step 4: Simplify right side
    1,121.53x = 1,011,995.04
  5. Step 5: Solve for x
    x = 1,011,995.04/1,121.53
  6. Step 6: Final answer
    x = 902.33

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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.