Home / 1,033.14-1,549.25-931.38

Finding the Fourth Proportional to 1,033.14, 1,549.25 and 931.38

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Solution

The fourth proportional to 1,033.14, 1,549.25 and 931.38 is: 1,396.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.14 : 1,549.25 = 931.38 : x
  2. Step 2: Convert to fraction form
    1,033.14/1,549.25 = 931.38/x
  3. Step 3: Cross multiply
    1,033.14x = 1,549.25 × 931.38
  4. Step 4: Simplify right side
    1,033.14x = 1,442,935.81
  5. Step 5: Solve for x
    x = 1,442,935.81/1,033.14
  6. Step 6: Final answer
    x = 1,396.65

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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.