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Finding the Fourth Proportional to 519.57, 775.54 and 458.06

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Solution

The fourth proportional to 519.57, 775.54 and 458.06 is: 683.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.57 : 775.54 = 458.06 : x
  2. Step 2: Convert to fraction form
    519.57/775.54 = 458.06/x
  3. Step 3: Cross multiply
    519.57x = 775.54 × 458.06
  4. Step 4: Simplify right side
    519.57x = 355,243.06
  5. Step 5: Solve for x
    x = 355,243.06/519.57
  6. Step 6: Final answer
    x = 683.73

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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.