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Finding the Fourth Proportional to 519.00, 716.20 and 282.95

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Solution

The fourth proportional to 519.00, 716.20 and 282.95 is: 390.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.00 : 716.20 = 282.95 : x
  2. Step 2: Convert to fraction form
    519.00/716.20 = 282.95/x
  3. Step 3: Cross multiply
    519.00x = 716.20 × 282.95
  4. Step 4: Simplify right side
    519.00x = 202,648.87
  5. Step 5: Solve for x
    x = 202,648.87/519.00
  6. Step 6: Final answer
    x = 390.46

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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.