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Finding the Fourth Proportional to 1,642, 2,460.86 and 667.57

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Solution

The fourth proportional to 1,642, 2,460.86 and 667.57 is: 1,000.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642 : 2,460.86 = 667.57 : x
  2. Step 2: Convert to fraction form
    1,642/2,460.86 = 667.57/x
  3. Step 3: Cross multiply
    1,642x = 2,460.86 × 667.57
  4. Step 4: Simplify right side
    1,642x = 1,642,796.31
  5. Step 5: Solve for x
    x = 1,642,796.31/1,642
  6. Step 6: Final answer
    x = 1,000.48

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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.