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Finding the Fourth Proportional to 544.69, 815.14 and 446.05

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Solution

The fourth proportional to 544.69, 815.14 and 446.05 is: 667.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.69 : 815.14 = 446.05 : x
  2. Step 2: Convert to fraction form
    544.69/815.14 = 446.05/x
  3. Step 3: Cross multiply
    544.69x = 815.14 × 446.05
  4. Step 4: Simplify right side
    544.69x = 363,593.20
  5. Step 5: Solve for x
    x = 363,593.20/544.69
  6. Step 6: Final answer
    x = 667.52

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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.