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Finding the Fourth Proportional to 656.19, 983.83 and 290.78

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Solution

The fourth proportional to 656.19, 983.83 and 290.78 is: 435.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.19 : 983.83 = 290.78 : x
  2. Step 2: Convert to fraction form
    656.19/983.83 = 290.78/x
  3. Step 3: Cross multiply
    656.19x = 983.83 × 290.78
  4. Step 4: Simplify right side
    656.19x = 286,078.09
  5. Step 5: Solve for x
    x = 286,078.09/656.19
  6. Step 6: Final answer
    x = 435.97

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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.