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Finding the Fourth Proportional to 544.47, 815.91 and 325.15

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Solution

The fourth proportional to 544.47, 815.91 and 325.15 is: 487.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.47 : 815.91 = 325.15 : x
  2. Step 2: Convert to fraction form
    544.47/815.91 = 325.15/x
  3. Step 3: Cross multiply
    544.47x = 815.91 × 325.15
  4. Step 4: Simplify right side
    544.47x = 265,289.53
  5. Step 5: Solve for x
    x = 265,289.53/544.47
  6. Step 6: Final answer
    x = 487.24

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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.