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Finding the Fourth Proportional to 1,197.08, 1,653.98 and 901.83

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Solution

The fourth proportional to 1,197.08, 1,653.98 and 901.83 is: 1,246.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.08 : 1,653.98 = 901.83 : x
  2. Step 2: Convert to fraction form
    1,197.08/1,653.98 = 901.83/x
  3. Step 3: Cross multiply
    1,197.08x = 1,653.98 × 901.83
  4. Step 4: Simplify right side
    1,197.08x = 1,491,604.27
  5. Step 5: Solve for x
    x = 1,491,604.27/1,197.08
  6. Step 6: Final answer
    x = 1,246.04

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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.