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Finding the Fourth Proportional to 1,193.52, 1,780.22 and 1,157.07

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Solution

The fourth proportional to 1,193.52, 1,780.22 and 1,157.07 is: 1,725.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.52 : 1,780.22 = 1,157.07 : x
  2. Step 2: Convert to fraction form
    1,193.52/1,780.22 = 1,157.07/x
  3. Step 3: Cross multiply
    1,193.52x = 1,780.22 × 1,157.07
  4. Step 4: Simplify right side
    1,193.52x = 2,059,839.16
  5. Step 5: Solve for x
    x = 2,059,839.16/1,193.52
  6. Step 6: Final answer
    x = 1,725.85

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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.