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Finding the Fourth Proportional to 1,976.19, 2,964.71 and 589.64

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Solution

The fourth proportional to 1,976.19, 2,964.71 and 589.64 is: 884.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.19 : 2,964.71 = 589.64 : x
  2. Step 2: Convert to fraction form
    1,976.19/2,964.71 = 589.64/x
  3. Step 3: Cross multiply
    1,976.19x = 2,964.71 × 589.64
  4. Step 4: Simplify right side
    1,976.19x = 1,748,105.67
  5. Step 5: Solve for x
    x = 1,748,105.67/1,976.19
  6. Step 6: Final answer
    x = 884.58

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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.