Home / 1,033.30-1,540.14-974.92

Finding the Fourth Proportional to 1,033.30, 1,540.14 and 974.92

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Solution

The fourth proportional to 1,033.30, 1,540.14 and 974.92 is: 1,453.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.30 : 1,540.14 = 974.92 : x
  2. Step 2: Convert to fraction form
    1,033.30/1,540.14 = 974.92/x
  3. Step 3: Cross multiply
    1,033.30x = 1,540.14 × 974.92
  4. Step 4: Simplify right side
    1,033.30x = 1,501,513.29
  5. Step 5: Solve for x
    x = 1,501,513.29/1,033.30
  6. Step 6: Final answer
    x = 1,453.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.