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Finding the Fourth Proportional to 544.97, 816.80 and 314.02

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Solution

The fourth proportional to 544.97, 816.80 and 314.02 is: 470.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.97 : 816.80 = 314.02 : x
  2. Step 2: Convert to fraction form
    544.97/816.80 = 314.02/x
  3. Step 3: Cross multiply
    544.97x = 816.80 × 314.02
  4. Step 4: Simplify right side
    544.97x = 256,491.54
  5. Step 5: Solve for x
    x = 256,491.54/544.97
  6. Step 6: Final answer
    x = 470.65

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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.