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Finding the Fourth Proportional to 746.92, 1,119.93 and 381.52

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Solution

The fourth proportional to 746.92, 1,119.93 and 381.52 is: 572.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.92 : 1,119.93 = 381.52 : x
  2. Step 2: Convert to fraction form
    746.92/1,119.93 = 381.52/x
  3. Step 3: Cross multiply
    746.92x = 1,119.93 × 381.52
  4. Step 4: Simplify right side
    746.92x = 427,275.69
  5. Step 5: Solve for x
    x = 427,275.69/746.92
  6. Step 6: Final answer
    x = 572.05

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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.