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Finding the Fourth Proportional to 1,267.56, 1,902.34 and 574.28

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Solution

The fourth proportional to 1,267.56, 1,902.34 and 574.28 is: 861.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.56 : 1,902.34 = 574.28 : x
  2. Step 2: Convert to fraction form
    1,267.56/1,902.34 = 574.28/x
  3. Step 3: Cross multiply
    1,267.56x = 1,902.34 × 574.28
  4. Step 4: Simplify right side
    1,267.56x = 1,092,467.74
  5. Step 5: Solve for x
    x = 1,092,467.74/1,267.56
  6. Step 6: Final answer
    x = 861.87

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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.