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Finding the Fourth Proportional to 1,756.65, 2,634.27 and 782.07

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Solution

The fourth proportional to 1,756.65, 2,634.27 and 782.07 is: 1,172.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.65 : 2,634.27 = 782.07 : x
  2. Step 2: Convert to fraction form
    1,756.65/2,634.27 = 782.07/x
  3. Step 3: Cross multiply
    1,756.65x = 2,634.27 × 782.07
  4. Step 4: Simplify right side
    1,756.65x = 2,060,183.54
  5. Step 5: Solve for x
    x = 2,060,183.54/1,756.65
  6. Step 6: Final answer
    x = 1,172.79

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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.