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Finding the Fourth Proportional to 1,102.38, 1,520.46 and 954.75

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Solution

The fourth proportional to 1,102.38, 1,520.46 and 954.75 is: 1,316.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.38 : 1,520.46 = 954.75 : x
  2. Step 2: Convert to fraction form
    1,102.38/1,520.46 = 954.75/x
  3. Step 3: Cross multiply
    1,102.38x = 1,520.46 × 954.75
  4. Step 4: Simplify right side
    1,102.38x = 1,451,659.19
  5. Step 5: Solve for x
    x = 1,451,659.19/1,102.38
  6. Step 6: Final answer
    x = 1,316.84

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1.5x scale

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.