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Finding the Fourth Proportional to 1,176.39, 1,765.80 and 919.20

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Solution

The fourth proportional to 1,176.39, 1,765.80 and 919.20 is: 1,379.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.39 : 1,765.80 = 919.20 : x
  2. Step 2: Convert to fraction form
    1,176.39/1,765.80 = 919.20/x
  3. Step 3: Cross multiply
    1,176.39x = 1,765.80 × 919.20
  4. Step 4: Simplify right side
    1,176.39x = 1,623,123.36
  5. Step 5: Solve for x
    x = 1,623,123.36/1,176.39
  6. Step 6: Final answer
    x = 1,379.75

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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.