Home / 1,438.28-2,157.66-513.59

Finding the Fourth Proportional to 1,438.28, 2,157.66 and 513.59

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Solution

The fourth proportional to 1,438.28, 2,157.66 and 513.59 is: 770.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.28 : 2,157.66 = 513.59 : x
  2. Step 2: Convert to fraction form
    1,438.28/2,157.66 = 513.59/x
  3. Step 3: Cross multiply
    1,438.28x = 2,157.66 × 513.59
  4. Step 4: Simplify right side
    1,438.28x = 1,108,157.99
  5. Step 5: Solve for x
    x = 1,108,157.99/1,438.28
  6. Step 6: Final answer
    x = 770.47

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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.