Home / 1,438.30-2,157.38-513.87

Finding the Fourth Proportional to 1,438.30, 2,157.38 and 513.87

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Solution

The fourth proportional to 1,438.30, 2,157.38 and 513.87 is: 770.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.30 : 2,157.38 = 513.87 : x
  2. Step 2: Convert to fraction form
    1,438.30/2,157.38 = 513.87/x
  3. Step 3: Cross multiply
    1,438.30x = 2,157.38 × 513.87
  4. Step 4: Simplify right side
    1,438.30x = 1,108,612.86
  5. Step 5: Solve for x
    x = 1,108,612.86/1,438.30
  6. Step 6: Final answer
    x = 770.78

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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.