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Finding the Fourth Proportional to 519.32, 775.17 and 457.81

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Solution

The fourth proportional to 519.32, 775.17 and 457.81 is: 683.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.32 : 775.17 = 457.81 : x
  2. Step 2: Convert to fraction form
    519.32/775.17 = 457.81/x
  3. Step 3: Cross multiply
    519.32x = 775.17 × 457.81
  4. Step 4: Simplify right side
    519.32x = 354,877.85
  5. Step 5: Solve for x
    x = 354,877.85/519.32
  6. Step 6: Final answer
    x = 683.36

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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.