Home / 1,177.13-1,764.86-446.31

Finding the Fourth Proportional to 1,177.13, 1,764.86 and 446.31

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Solution

The fourth proportional to 1,177.13, 1,764.86 and 446.31 is: 669.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.13 : 1,764.86 = 446.31 : x
  2. Step 2: Convert to fraction form
    1,177.13/1,764.86 = 446.31/x
  3. Step 3: Cross multiply
    1,177.13x = 1,764.86 × 446.31
  4. Step 4: Simplify right side
    1,177.13x = 787,672.44
  5. Step 5: Solve for x
    x = 787,672.44/1,177.13
  6. Step 6: Final answer
    x = 669.15

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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.