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Finding the Fourth Proportional to 1,954.80, 2,931.68 and 656

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Solution

The fourth proportional to 1,954.80, 2,931.68 and 656 is: 983.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.80 : 2,931.68 = 656 : x
  2. Step 2: Convert to fraction form
    1,954.80/2,931.68 = 656/x
  3. Step 3: Cross multiply
    1,954.80x = 2,931.68 × 656
  4. Step 4: Simplify right side
    1,954.80x = 1,923,182.08
  5. Step 5: Solve for x
    x = 1,923,182.08/1,954.80
  6. Step 6: Final answer
    x = 983.83

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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.