Home / 1,177.16-1,765.54-311.56

Finding the Fourth Proportional to 1,177.16, 1,765.54 and 311.56

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Solution

The fourth proportional to 1,177.16, 1,765.54 and 311.56 is: 467.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.16 : 1,765.54 = 311.56 : x
  2. Step 2: Convert to fraction form
    1,177.16/1,765.54 = 311.56/x
  3. Step 3: Cross multiply
    1,177.16x = 1,765.54 × 311.56
  4. Step 4: Simplify right side
    1,177.16x = 550,071.64
  5. Step 5: Solve for x
    x = 550,071.64/1,177.16
  6. Step 6: Final answer
    x = 467.29

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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.