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Finding the Fourth Proportional to 1,642.13, 2,462.66 and 546.20

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Solution

The fourth proportional to 1,642.13, 2,462.66 and 546.20 is: 819.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.13 : 2,462.66 = 546.20 : x
  2. Step 2: Convert to fraction form
    1,642.13/2,462.66 = 546.20/x
  3. Step 3: Cross multiply
    1,642.13x = 2,462.66 × 546.20
  4. Step 4: Simplify right side
    1,642.13x = 1,345,089.85
  5. Step 5: Solve for x
    x = 1,345,089.85/1,642.13
  6. Step 6: Final answer
    x = 819.12

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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.