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Finding the Fourth Proportional to 741.35, 1,105.30 and 722.12

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Solution

The fourth proportional to 741.35, 1,105.30 and 722.12 is: 1,076.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.35 : 1,105.30 = 722.12 : x
  2. Step 2: Convert to fraction form
    741.35/1,105.30 = 722.12/x
  3. Step 3: Cross multiply
    741.35x = 1,105.30 × 722.12
  4. Step 4: Simplify right side
    741.35x = 798,153.71
  5. Step 5: Solve for x
    x = 798,153.71/741.35
  6. Step 6: Final answer
    x = 1,076.62

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Why These Related Problems?

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