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Finding the Fourth Proportional to 1,642.75, 2,462.91 and 993.34

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Solution

The fourth proportional to 1,642.75, 2,462.91 and 993.34 is: 1,489.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.75 : 2,462.91 = 993.34 : x
  2. Step 2: Convert to fraction form
    1,642.75/2,462.91 = 993.34/x
  3. Step 3: Cross multiply
    1,642.75x = 2,462.91 × 993.34
  4. Step 4: Simplify right side
    1,642.75x = 2,446,507.02
  5. Step 5: Solve for x
    x = 2,446,507.02/1,642.75
  6. Step 6: Final answer
    x = 1,489.28

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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.