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Finding the Fourth Proportional to 496.47, 684.75 and 309.62

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Solution

The fourth proportional to 496.47, 684.75 and 309.62 is: 427.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.47 : 684.75 = 309.62 : x
  2. Step 2: Convert to fraction form
    496.47/684.75 = 309.62/x
  3. Step 3: Cross multiply
    496.47x = 684.75 × 309.62
  4. Step 4: Simplify right side
    496.47x = 212,007.32
  5. Step 5: Solve for x
    x = 212,007.32/496.47
  6. Step 6: Final answer
    x = 427.03

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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.