Home / 1,321.24-1,980.43-589.81

Finding the Fourth Proportional to 1,321.24, 1,980.43 and 589.81

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Solution

The fourth proportional to 1,321.24, 1,980.43 and 589.81 is: 884.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.24 : 1,980.43 = 589.81 : x
  2. Step 2: Convert to fraction form
    1,321.24/1,980.43 = 589.81/x
  3. Step 3: Cross multiply
    1,321.24x = 1,980.43 × 589.81
  4. Step 4: Simplify right side
    1,321.24x = 1,168,077.42
  5. Step 5: Solve for x
    x = 1,168,077.42/1,321.24
  6. Step 6: Final answer
    x = 884.08

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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.