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Finding the Fourth Proportional to 1,707.78, 2,561.42 and 537.51

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Solution

The fourth proportional to 1,707.78, 2,561.42 and 537.51 is: 806.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.78 : 2,561.42 = 537.51 : x
  2. Step 2: Convert to fraction form
    1,707.78/2,561.42 = 537.51/x
  3. Step 3: Cross multiply
    1,707.78x = 2,561.42 × 537.51
  4. Step 4: Simplify right side
    1,707.78x = 1,376,786.18
  5. Step 5: Solve for x
    x = 1,376,786.18/1,707.78
  6. Step 6: Final answer
    x = 806.18

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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.