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Finding the Fourth Proportional to 1,642.75, 2,464.54 and 547.22

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Solution

The fourth proportional to 1,642.75, 2,464.54 and 547.22 is: 820.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.75 : 2,464.54 = 547.22 : x
  2. Step 2: Convert to fraction form
    1,642.75/2,464.54 = 547.22/x
  3. Step 3: Cross multiply
    1,642.75x = 2,464.54 × 547.22
  4. Step 4: Simplify right side
    1,642.75x = 1,348,650.37
  5. Step 5: Solve for x
    x = 1,348,650.37/1,642.75
  6. Step 6: Final answer
    x = 820.97

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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.