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Finding the Fourth Proportional to 715.14, 986.31 and 482.22

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Solution

The fourth proportional to 715.14, 986.31 and 482.22 is: 665.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.14 : 986.31 = 482.22 : x
  2. Step 2: Convert to fraction form
    715.14/986.31 = 482.22/x
  3. Step 3: Cross multiply
    715.14x = 986.31 × 482.22
  4. Step 4: Simplify right side
    715.14x = 475,618.41
  5. Step 5: Solve for x
    x = 475,618.41/715.14
  6. Step 6: Final answer
    x = 665.07

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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.