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Finding the Fourth Proportional to 518.14, 718.74 and 490.47

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Solution

The fourth proportional to 518.14, 718.74 and 490.47 is: 680.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.14 : 718.74 = 490.47 : x
  2. Step 2: Convert to fraction form
    518.14/718.74 = 490.47/x
  3. Step 3: Cross multiply
    518.14x = 718.74 × 490.47
  4. Step 4: Simplify right side
    518.14x = 352,517.71
  5. Step 5: Solve for x
    x = 352,517.71/518.14
  6. Step 6: Final answer
    x = 680.35

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.