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Finding the Fourth Proportional to 519.30, 716.70 and 298.23

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Solution

The fourth proportional to 519.30, 716.70 and 298.23 is: 411.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.30 : 716.70 = 298.23 : x
  2. Step 2: Convert to fraction form
    519.30/716.70 = 298.23/x
  3. Step 3: Cross multiply
    519.30x = 716.70 × 298.23
  4. Step 4: Simplify right side
    519.30x = 213,741.44
  5. Step 5: Solve for x
    x = 213,741.44/519.30
  6. Step 6: Final answer
    x = 411.60

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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.