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Finding the Fourth Proportional to 544.60, 814.82 and 505.72

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Solution

The fourth proportional to 544.60, 814.82 and 505.72 is: 756.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.60 : 814.82 = 505.72 : x
  2. Step 2: Convert to fraction form
    544.60/814.82 = 505.72/x
  3. Step 3: Cross multiply
    544.60x = 814.82 × 505.72
  4. Step 4: Simplify right side
    544.60x = 412,070.77
  5. Step 5: Solve for x
    x = 412,070.77/544.60
  6. Step 6: Final answer
    x = 756.65

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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.