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Finding the Fourth Proportional to 544.20, 814.92 and 436.20

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Solution

The fourth proportional to 544.20, 814.92 and 436.20 is: 653.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.20 : 814.92 = 436.20 : x
  2. Step 2: Convert to fraction form
    544.20/814.92 = 436.20/x
  3. Step 3: Cross multiply
    544.20x = 814.92 × 436.20
  4. Step 4: Simplify right side
    544.20x = 355,468.10
  5. Step 5: Solve for x
    x = 355,468.10/544.20
  6. Step 6: Final answer
    x = 653.19

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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.