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Finding the Fourth Proportional to 519.04, 715.98 and 329.63

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Solution

The fourth proportional to 519.04, 715.98 and 329.63 is: 454.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.04 : 715.98 = 329.63 : x
  2. Step 2: Convert to fraction form
    519.04/715.98 = 329.63/x
  3. Step 3: Cross multiply
    519.04x = 715.98 × 329.63
  4. Step 4: Simplify right side
    519.04x = 236,010.28
  5. Step 5: Solve for x
    x = 236,010.28/519.04
  6. Step 6: Final answer
    x = 454.71

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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.