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Finding the Fourth Proportional to 1,094.26, 1,509.09 and 721.12

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Solution

The fourth proportional to 1,094.26, 1,509.09 and 721.12 is: 994.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.26 : 1,509.09 = 721.12 : x
  2. Step 2: Convert to fraction form
    1,094.26/1,509.09 = 721.12/x
  3. Step 3: Cross multiply
    1,094.26x = 1,509.09 × 721.12
  4. Step 4: Simplify right side
    1,094.26x = 1,088,234.98
  5. Step 5: Solve for x
    x = 1,088,234.98/1,094.26
  6. Step 6: Final answer
    x = 994.49

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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.