Home / 1,197.24-1,784.10-1,158.09

Finding the Fourth Proportional to 1,197.24, 1,784.10 and 1,158.09

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Solution

The fourth proportional to 1,197.24, 1,784.10 and 1,158.09 is: 1,725.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.24 : 1,784.10 = 1,158.09 : x
  2. Step 2: Convert to fraction form
    1,197.24/1,784.10 = 1,158.09/x
  3. Step 3: Cross multiply
    1,197.24x = 1,784.10 × 1,158.09
  4. Step 4: Simplify right side
    1,197.24x = 2,066,148.37
  5. Step 5: Solve for x
    x = 2,066,148.37/1,197.24
  6. Step 6: Final answer
    x = 1,725.76

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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.