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Finding the Fourth Proportional to 1,353.53, 2,020.46 and 1,189.50

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Solution

The fourth proportional to 1,353.53, 2,020.46 and 1,189.50 is: 1,775.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.53 : 2,020.46 = 1,189.50 : x
  2. Step 2: Convert to fraction form
    1,353.53/2,020.46 = 1,189.50/x
  3. Step 3: Cross multiply
    1,353.53x = 2,020.46 × 1,189.50
  4. Step 4: Simplify right side
    1,353.53x = 2,403,331.22
  5. Step 5: Solve for x
    x = 2,403,331.22/1,353.53
  6. Step 6: Final answer
    x = 1,775.61

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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.