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Finding the Fourth Proportional to 1,213.36, 1,674.12 and 902.32

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Solution

The fourth proportional to 1,213.36, 1,674.12 and 902.32 is: 1,244.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.36 : 1,674.12 = 902.32 : x
  2. Step 2: Convert to fraction form
    1,213.36/1,674.12 = 902.32/x
  3. Step 3: Cross multiply
    1,213.36x = 1,674.12 × 902.32
  4. Step 4: Simplify right side
    1,213.36x = 1,510,591.96
  5. Step 5: Solve for x
    x = 1,510,591.96/1,213.36
  6. Step 6: Final answer
    x = 1,244.97

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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.