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Finding the Fourth Proportional to 544.74, 816.71 and 489.74

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Solution

The fourth proportional to 544.74, 816.71 and 489.74 is: 734.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.74 : 816.71 = 489.74 : x
  2. Step 2: Convert to fraction form
    544.74/816.71 = 489.74/x
  3. Step 3: Cross multiply
    544.74x = 816.71 × 489.74
  4. Step 4: Simplify right side
    544.74x = 399,975.56
  5. Step 5: Solve for x
    x = 399,975.56/544.74
  6. Step 6: Final answer
    x = 734.25

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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.