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Finding the Fourth Proportional to 1,254.12, 1,879.26 and 706.46

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Solution

The fourth proportional to 1,254.12, 1,879.26 and 706.46 is: 1,058.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.12 : 1,879.26 = 706.46 : x
  2. Step 2: Convert to fraction form
    1,254.12/1,879.26 = 706.46/x
  3. Step 3: Cross multiply
    1,254.12x = 1,879.26 × 706.46
  4. Step 4: Simplify right side
    1,254.12x = 1,327,622.02
  5. Step 5: Solve for x
    x = 1,327,622.02/1,254.12
  6. Step 6: Final answer
    x = 1,058.61

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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.