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Finding the Fourth Proportional to 1,716.58, 2,571.44 and 790.87

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Solution

The fourth proportional to 1,716.58, 2,571.44 and 790.87 is: 1,184.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.58 : 2,571.44 = 790.87 : x
  2. Step 2: Convert to fraction form
    1,716.58/2,571.44 = 790.87/x
  3. Step 3: Cross multiply
    1,716.58x = 2,571.44 × 790.87
  4. Step 4: Simplify right side
    1,716.58x = 2,033,670.80
  5. Step 5: Solve for x
    x = 2,033,670.80/1,716.58
  6. Step 6: Final answer
    x = 1,184.72

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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.