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Finding the Fourth Proportional to 544.79, 816.78 and 328.32

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Solution

The fourth proportional to 544.79, 816.78 and 328.32 is: 492.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.79 : 816.78 = 328.32 : x
  2. Step 2: Convert to fraction form
    544.79/816.78 = 328.32/x
  3. Step 3: Cross multiply
    544.79x = 816.78 × 328.32
  4. Step 4: Simplify right side
    544.79x = 268,166.44
  5. Step 5: Solve for x
    x = 268,166.44/544.79
  6. Step 6: Final answer
    x = 492.24

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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.