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Finding the Fourth Proportional to 1,621.16, 2,431.38 and 755

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Solution

The fourth proportional to 1,621.16, 2,431.38 and 755 is: 1,132.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621.16 : 2,431.38 = 755 : x
  2. Step 2: Convert to fraction form
    1,621.16/2,431.38 = 755/x
  3. Step 3: Cross multiply
    1,621.16x = 2,431.38 × 755
  4. Step 4: Simplify right side
    1,621.16x = 1,835,691.90
  5. Step 5: Solve for x
    x = 1,835,691.90/1,621.16
  6. Step 6: Final answer
    x = 1,132.33

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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.