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Finding the Fourth Proportional to 1,195.15, 1,785.02 and 1,031.14

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Solution

The fourth proportional to 1,195.15, 1,785.02 and 1,031.14 is: 1,540.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.15 : 1,785.02 = 1,031.14 : x
  2. Step 2: Convert to fraction form
    1,195.15/1,785.02 = 1,031.14/x
  3. Step 3: Cross multiply
    1,195.15x = 1,785.02 × 1,031.14
  4. Step 4: Simplify right side
    1,195.15x = 1,840,605.52
  5. Step 5: Solve for x
    x = 1,840,605.52/1,195.15
  6. Step 6: Final answer
    x = 1,540.06

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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.