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Finding the Fourth Proportional to 1,193.28, 1,775.28 and 1,147.20

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Solution

The fourth proportional to 1,193.28, 1,775.28 and 1,147.20 is: 1,706.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.28 : 1,775.28 = 1,147.20 : x
  2. Step 2: Convert to fraction form
    1,193.28/1,775.28 = 1,147.20/x
  3. Step 3: Cross multiply
    1,193.28x = 1,775.28 × 1,147.20
  4. Step 4: Simplify right side
    1,193.28x = 2,036,601.22
  5. Step 5: Solve for x
    x = 2,036,601.22/1,193.28
  6. Step 6: Final answer
    x = 1,706.73

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Double scale
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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.