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Finding the Fourth Proportional to 544.95, 817.49 and 174.78

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Solution

The fourth proportional to 544.95, 817.49 and 174.78 is: 262.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.95 : 817.49 = 174.78 : x
  2. Step 2: Convert to fraction form
    544.95/817.49 = 174.78/x
  3. Step 3: Cross multiply
    544.95x = 817.49 × 174.78
  4. Step 4: Simplify right side
    544.95x = 142,881.34
  5. Step 5: Solve for x
    x = 142,881.34/544.95
  6. Step 6: Final answer
    x = 262.19

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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.