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Finding the Fourth Proportional to 1,085.71, 1,497.31 and 852.43

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Solution

The fourth proportional to 1,085.71, 1,497.31 and 852.43 is: 1,175.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.71 : 1,497.31 = 852.43 : x
  2. Step 2: Convert to fraction form
    1,085.71/1,497.31 = 852.43/x
  3. Step 3: Cross multiply
    1,085.71x = 1,497.31 × 852.43
  4. Step 4: Simplify right side
    1,085.71x = 1,276,351.96
  5. Step 5: Solve for x
    x = 1,276,351.96/1,085.71
  6. Step 6: Final answer
    x = 1,175.59

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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.