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Finding the Fourth Proportional to 656.31, 983.64 and 290.68

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Solution

The fourth proportional to 656.31, 983.64 and 290.68 is: 435.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.31 : 983.64 = 290.68 : x
  2. Step 2: Convert to fraction form
    656.31/983.64 = 290.68/x
  3. Step 3: Cross multiply
    656.31x = 983.64 × 290.68
  4. Step 4: Simplify right side
    656.31x = 285,924.48
  5. Step 5: Solve for x
    x = 285,924.48/656.31
  6. Step 6: Final answer
    x = 435.65

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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.