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Finding the Fourth Proportional to 544.32, 822.96 and 517.86

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Solution

The fourth proportional to 544.32, 822.96 and 517.86 is: 782.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.32 : 822.96 = 517.86 : x
  2. Step 2: Convert to fraction form
    544.32/822.96 = 517.86/x
  3. Step 3: Cross multiply
    544.32x = 822.96 × 517.86
  4. Step 4: Simplify right side
    544.32x = 426,178.07
  5. Step 5: Solve for x
    x = 426,178.07/544.32
  6. Step 6: Final answer
    x = 782.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.