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Finding the Fourth Proportional to 1,980.65, 2,971.37 and 593.88

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Solution

The fourth proportional to 1,980.65, 2,971.37 and 593.88 is: 890.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.65 : 2,971.37 = 593.88 : x
  2. Step 2: Convert to fraction form
    1,980.65/2,971.37 = 593.88/x
  3. Step 3: Cross multiply
    1,980.65x = 2,971.37 × 593.88
  4. Step 4: Simplify right side
    1,980.65x = 1,764,643.44
  5. Step 5: Solve for x
    x = 1,764,643.44/1,980.65
  6. Step 6: Final answer
    x = 890.94

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1.5x scale

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.