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Finding the Fourth Proportional to 902.70, 1,244.34 and 725.40

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Solution

The fourth proportional to 902.70, 1,244.34 and 725.40 is: 999.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.70 : 1,244.34 = 725.40 : x
  2. Step 2: Convert to fraction form
    902.70/1,244.34 = 725.40/x
  3. Step 3: Cross multiply
    902.70x = 1,244.34 × 725.40
  4. Step 4: Simplify right side
    902.70x = 902,644.24
  5. Step 5: Solve for x
    x = 902,644.24/902.70
  6. Step 6: Final answer
    x = 999.94

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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.