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Finding the Fourth Proportional to 1,705.51, 2,561.51 and 1,060.75

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Solution

The fourth proportional to 1,705.51, 2,561.51 and 1,060.75 is: 1,593.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.51 : 2,561.51 = 1,060.75 : x
  2. Step 2: Convert to fraction form
    1,705.51/2,561.51 = 1,060.75/x
  3. Step 3: Cross multiply
    1,705.51x = 2,561.51 × 1,060.75
  4. Step 4: Simplify right side
    1,705.51x = 2,717,121.73
  5. Step 5: Solve for x
    x = 2,717,121.73/1,705.51
  6. Step 6: Final answer
    x = 1,593.14

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1.5x scale

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.