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Finding the Fourth Proportional to 518.82, 719.14 and 511.12

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Solution

The fourth proportional to 518.82, 719.14 and 511.12 is: 708.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.82 : 719.14 = 511.12 : x
  2. Step 2: Convert to fraction form
    518.82/719.14 = 511.12/x
  3. Step 3: Cross multiply
    518.82x = 719.14 × 511.12
  4. Step 4: Simplify right side
    518.82x = 367,566.84
  5. Step 5: Solve for x
    x = 367,566.84/518.82
  6. Step 6: Final answer
    x = 708.47

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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.