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Finding the Fourth Proportional to 1,260.03, 1,738.19 and 856.12

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Solution

The fourth proportional to 1,260.03, 1,738.19 and 856.12 is: 1,180.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.03 : 1,738.19 = 856.12 : x
  2. Step 2: Convert to fraction form
    1,260.03/1,738.19 = 856.12/x
  3. Step 3: Cross multiply
    1,260.03x = 1,738.19 × 856.12
  4. Step 4: Simplify right side
    1,260.03x = 1,488,090.60
  5. Step 5: Solve for x
    x = 1,488,090.60/1,260.03
  6. Step 6: Final answer
    x = 1,180.99

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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.