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Finding the Fourth Proportional to 993.80, 1,372.78 and 763.80

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Solution

The fourth proportional to 993.80, 1,372.78 and 763.80 is: 1,055.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.80 : 1,372.78 = 763.80 : x
  2. Step 2: Convert to fraction form
    993.80/1,372.78 = 763.80/x
  3. Step 3: Cross multiply
    993.80x = 1,372.78 × 763.80
  4. Step 4: Simplify right side
    993.80x = 1,048,529.36
  5. Step 5: Solve for x
    x = 1,048,529.36/993.80
  6. Step 6: Final answer
    x = 1,055.07

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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.