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Finding the Fourth Proportional to 1,084.87, 1,627.38 and 460.06

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Solution

The fourth proportional to 1,084.87, 1,627.38 and 460.06 is: 690.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.87 : 1,627.38 = 460.06 : x
  2. Step 2: Convert to fraction form
    1,084.87/1,627.38 = 460.06/x
  3. Step 3: Cross multiply
    1,084.87x = 1,627.38 × 460.06
  4. Step 4: Simplify right side
    1,084.87x = 748,692.44
  5. Step 5: Solve for x
    x = 748,692.44/1,084.87
  6. Step 6: Final answer
    x = 690.12

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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.