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Finding the Fourth Proportional to 656.39, 983.82 and 309.81

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Solution

The fourth proportional to 656.39, 983.82 and 309.81 is: 464.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.39 : 983.82 = 309.81 : x
  2. Step 2: Convert to fraction form
    656.39/983.82 = 309.81/x
  3. Step 3: Cross multiply
    656.39x = 983.82 × 309.81
  4. Step 4: Simplify right side
    656.39x = 304,797.27
  5. Step 5: Solve for x
    x = 304,797.27/656.39
  6. Step 6: Final answer
    x = 464.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.