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Finding the Fourth Proportional to 1,976.43, 2,965.05 and 589.71

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Solution

The fourth proportional to 1,976.43, 2,965.05 and 589.71 is: 884.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.43 : 2,965.05 = 589.71 : x
  2. Step 2: Convert to fraction form
    1,976.43/2,965.05 = 589.71/x
  3. Step 3: Cross multiply
    1,976.43x = 2,965.05 × 589.71
  4. Step 4: Simplify right side
    1,976.43x = 1,748,519.64
  5. Step 5: Solve for x
    x = 1,748,519.64/1,976.43
  6. Step 6: Final answer
    x = 884.69

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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.