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Finding the Fourth Proportional to 993.92, 1,371.72 and 574.28

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Solution

The fourth proportional to 993.92, 1,371.72 and 574.28 is: 792.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.92 : 1,371.72 = 574.28 : x
  2. Step 2: Convert to fraction form
    993.92/1,371.72 = 574.28/x
  3. Step 3: Cross multiply
    993.92x = 1,371.72 × 574.28
  4. Step 4: Simplify right side
    993.92x = 787,751.36
  5. Step 5: Solve for x
    x = 787,751.36/993.92
  6. Step 6: Final answer
    x = 792.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.