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Finding the Fourth Proportional to 544.83, 816.34 and 313.91

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Solution

The fourth proportional to 544.83, 816.34 and 313.91 is: 470.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.83 : 816.34 = 313.91 : x
  2. Step 2: Convert to fraction form
    544.83/816.34 = 313.91/x
  3. Step 3: Cross multiply
    544.83x = 816.34 × 313.91
  4. Step 4: Simplify right side
    544.83x = 256,257.43
  5. Step 5: Solve for x
    x = 256,257.43/544.83
  6. Step 6: Final answer
    x = 470.35

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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.