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Finding the Fourth Proportional to 519.38, 775.27 and 457.87

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Solution

The fourth proportional to 519.38, 775.27 and 457.87 is: 683.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.38 : 775.27 = 457.87 : x
  2. Step 2: Convert to fraction form
    519.38/775.27 = 457.87/x
  3. Step 3: Cross multiply
    519.38x = 775.27 × 457.87
  4. Step 4: Simplify right side
    519.38x = 354,969.79
  5. Step 5: Solve for x
    x = 354,969.79/519.38
  6. Step 6: Final answer
    x = 683.45

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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.