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Finding the Fourth Proportional to 1,260.05, 1,738.32 and 861.26

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Solution

The fourth proportional to 1,260.05, 1,738.32 and 861.26 is: 1,188.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.05 : 1,738.32 = 861.26 : x
  2. Step 2: Convert to fraction form
    1,260.05/1,738.32 = 861.26/x
  3. Step 3: Cross multiply
    1,260.05x = 1,738.32 × 861.26
  4. Step 4: Simplify right side
    1,260.05x = 1,497,145.48
  5. Step 5: Solve for x
    x = 1,497,145.48/1,260.05
  6. Step 6: Final answer
    x = 1,188.16

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1.5x scale

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.