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Finding the Fourth Proportional to 1,270.35, 1,902.18 and 1,022.23

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Solution

The fourth proportional to 1,270.35, 1,902.18 and 1,022.23 is: 1,530.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.35 : 1,902.18 = 1,022.23 : x
  2. Step 2: Convert to fraction form
    1,270.35/1,902.18 = 1,022.23/x
  3. Step 3: Cross multiply
    1,270.35x = 1,902.18 × 1,022.23
  4. Step 4: Simplify right side
    1,270.35x = 1,944,471.67
  5. Step 5: Solve for x
    x = 1,944,471.67/1,270.35
  6. Step 6: Final answer
    x = 1,530.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.