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Finding the Fourth Proportional to 519.17, 716.44 and 283.12

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Solution

The fourth proportional to 519.17, 716.44 and 283.12 is: 390.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.17 : 716.44 = 283.12 : x
  2. Step 2: Convert to fraction form
    519.17/716.44 = 283.12/x
  3. Step 3: Cross multiply
    519.17x = 716.44 × 283.12
  4. Step 4: Simplify right side
    519.17x = 202,837.27
  5. Step 5: Solve for x
    x = 202,837.27/519.17
  6. Step 6: Final answer
    x = 390.70

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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.