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Finding the Fourth Proportional to 519.33, 716.68 and 283.28

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Solution

The fourth proportional to 519.33, 716.68 and 283.28 is: 390.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.33 : 716.68 = 283.28 : x
  2. Step 2: Convert to fraction form
    519.33/716.68 = 283.28/x
  3. Step 3: Cross multiply
    519.33x = 716.68 × 283.28
  4. Step 4: Simplify right side
    519.33x = 203,021.91
  5. Step 5: Solve for x
    x = 203,021.91/519.33
  6. Step 6: Final answer
    x = 390.93

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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.