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Finding the Fourth Proportional to 544.93, 814.06 and 448.81

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Solution

The fourth proportional to 544.93, 814.06 and 448.81 is: 670.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.93 : 814.06 = 448.81 : x
  2. Step 2: Convert to fraction form
    544.93/814.06 = 448.81/x
  3. Step 3: Cross multiply
    544.93x = 814.06 × 448.81
  4. Step 4: Simplify right side
    544.93x = 365,359.39
  5. Step 5: Solve for x
    x = 365,359.39/544.93
  6. Step 6: Final answer
    x = 670.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.