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Finding the Fourth Proportional to 546.98, 819.65 and 401.99

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Solution

The fourth proportional to 546.98, 819.65 and 401.99 is: 602.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.98 : 819.65 = 401.99 : x
  2. Step 2: Convert to fraction form
    546.98/819.65 = 401.99/x
  3. Step 3: Cross multiply
    546.98x = 819.65 × 401.99
  4. Step 4: Simplify right side
    546.98x = 329,488.01
  5. Step 5: Solve for x
    x = 329,488.01/546.98
  6. Step 6: Final answer
    x = 602.38

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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.