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Finding the Fourth Proportional to 1,085.51, 1,628.73 and 537.71

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Solution

The fourth proportional to 1,085.51, 1,628.73 and 537.71 is: 806.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.51 : 1,628.73 = 537.71 : x
  2. Step 2: Convert to fraction form
    1,085.51/1,628.73 = 537.71/x
  3. Step 3: Cross multiply
    1,085.51x = 1,628.73 × 537.71
  4. Step 4: Simplify right side
    1,085.51x = 875,776.26
  5. Step 5: Solve for x
    x = 875,776.26/1,085.51
  6. Step 6: Final answer
    x = 806.79

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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.