Home / 1,177.28-1,764.80-446.64

Finding the Fourth Proportional to 1,177.28, 1,764.80 and 446.64

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Solution

The fourth proportional to 1,177.28, 1,764.80 and 446.64 is: 669.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.28 : 1,764.80 = 446.64 : x
  2. Step 2: Convert to fraction form
    1,177.28/1,764.80 = 446.64/x
  3. Step 3: Cross multiply
    1,177.28x = 1,764.80 × 446.64
  4. Step 4: Simplify right side
    1,177.28x = 788,230.27
  5. Step 5: Solve for x
    x = 788,230.27/1,177.28
  6. Step 6: Final answer
    x = 669.54

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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.