Home / 1,310.24-1,964.41-661.43

Finding the Fourth Proportional to 1,310.24, 1,964.41 and 661.43

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Solution

The fourth proportional to 1,310.24, 1,964.41 and 661.43 is: 991.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.24 : 1,964.41 = 661.43 : x
  2. Step 2: Convert to fraction form
    1,310.24/1,964.41 = 661.43/x
  3. Step 3: Cross multiply
    1,310.24x = 1,964.41 × 661.43
  4. Step 4: Simplify right side
    1,310.24x = 1,299,319.71
  5. Step 5: Solve for x
    x = 1,299,319.71/1,310.24
  6. Step 6: Final answer
    x = 991.67

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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.