Home / 1,143.25-1,576.53-932.75

Finding the Fourth Proportional to 1,143.25, 1,576.53 and 932.75

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Solution

The fourth proportional to 1,143.25, 1,576.53 and 932.75 is: 1,286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.25 : 1,576.53 = 932.75 : x
  2. Step 2: Convert to fraction form
    1,143.25/1,576.53 = 932.75/x
  3. Step 3: Cross multiply
    1,143.25x = 1,576.53 × 932.75
  4. Step 4: Simplify right side
    1,143.25x = 1,470,499.75
  5. Step 5: Solve for x
    x = 1,470,499.75/1,143.25
  6. Step 6: Final answer
    x = 1,286.25

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1.5x scale

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.