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Finding the Fourth Proportional to 519.81, 775.80 and 453.63

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Solution

The fourth proportional to 519.81, 775.80 and 453.63 is: 677.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.81 : 775.80 = 453.63 : x
  2. Step 2: Convert to fraction form
    519.81/775.80 = 453.63/x
  3. Step 3: Cross multiply
    519.81x = 775.80 × 453.63
  4. Step 4: Simplify right side
    519.81x = 351,926.15
  5. Step 5: Solve for x
    x = 351,926.15/519.81
  6. Step 6: Final answer
    x = 677.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.