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Finding the Fourth Proportional to 519.89, 715.64 and 457.52

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Solution

The fourth proportional to 519.89, 715.64 and 457.52 is: 629.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.89 : 715.64 = 457.52 : x
  2. Step 2: Convert to fraction form
    519.89/715.64 = 457.52/x
  3. Step 3: Cross multiply
    519.89x = 715.64 × 457.52
  4. Step 4: Simplify right side
    519.89x = 327,413.75
  5. Step 5: Solve for x
    x = 327,413.75/519.89
  6. Step 6: Final answer
    x = 629.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.