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Finding the Fourth Proportional to 1,093.29, 1,505.70 and 1,011.21

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Solution

The fourth proportional to 1,093.29, 1,505.70 and 1,011.21 is: 1,392.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.29 : 1,505.70 = 1,011.21 : x
  2. Step 2: Convert to fraction form
    1,093.29/1,505.70 = 1,011.21/x
  3. Step 3: Cross multiply
    1,093.29x = 1,505.70 × 1,011.21
  4. Step 4: Simplify right side
    1,093.29x = 1,522,578.90
  5. Step 5: Solve for x
    x = 1,522,578.90/1,093.29
  6. Step 6: Final answer
    x = 1,392.66

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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.