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Finding the Fourth Proportional to 1,085.25, 1,627.37 and 468.57

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Solution

The fourth proportional to 1,085.25, 1,627.37 and 468.57 is: 702.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.25 : 1,627.37 = 468.57 : x
  2. Step 2: Convert to fraction form
    1,085.25/1,627.37 = 468.57/x
  3. Step 3: Cross multiply
    1,085.25x = 1,627.37 × 468.57
  4. Step 4: Simplify right side
    1,085.25x = 762,534.42
  5. Step 5: Solve for x
    x = 762,534.42/1,085.25
  6. Step 6: Final answer
    x = 702.63

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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.