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Finding the Fourth Proportional to 544.82, 816.35 and 313.97

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Solution

The fourth proportional to 544.82, 816.35 and 313.97 is: 470.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.82 : 816.35 = 313.97 : x
  2. Step 2: Convert to fraction form
    544.82/816.35 = 313.97/x
  3. Step 3: Cross multiply
    544.82x = 816.35 × 313.97
  4. Step 4: Simplify right side
    544.82x = 256,303.76
  5. Step 5: Solve for x
    x = 256,303.76/544.82
  6. Step 6: Final answer
    x = 470.44

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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.