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Finding the Fourth Proportional to 1,709.43, 2,561.78 and 782.67

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Solution

The fourth proportional to 1,709.43, 2,561.78 and 782.67 is: 1,172.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.43 : 2,561.78 = 782.67 : x
  2. Step 2: Convert to fraction form
    1,709.43/2,561.78 = 782.67/x
  3. Step 3: Cross multiply
    1,709.43x = 2,561.78 × 782.67
  4. Step 4: Simplify right side
    1,709.43x = 2,005,024.44
  5. Step 5: Solve for x
    x = 2,005,024.44/1,709.43
  6. Step 6: Final answer
    x = 1,172.92

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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.