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Finding the Fourth Proportional to 1,392.53, 2,087.44 and 514.78

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Solution

The fourth proportional to 1,392.53, 2,087.44 and 514.78 is: 771.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.53 : 2,087.44 = 514.78 : x
  2. Step 2: Convert to fraction form
    1,392.53/2,087.44 = 514.78/x
  3. Step 3: Cross multiply
    1,392.53x = 2,087.44 × 514.78
  4. Step 4: Simplify right side
    1,392.53x = 1,074,565.86
  5. Step 5: Solve for x
    x = 1,074,565.86/1,392.53
  6. Step 6: Final answer
    x = 771.67

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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.