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Finding the Fourth Proportional to 716.02, 1,074.22 and 703.78

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Solution

The fourth proportional to 716.02, 1,074.22 and 703.78 is: 1,055.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.02 : 1,074.22 = 703.78 : x
  2. Step 2: Convert to fraction form
    716.02/1,074.22 = 703.78/x
  3. Step 3: Cross multiply
    716.02x = 1,074.22 × 703.78
  4. Step 4: Simplify right side
    716.02x = 756,014.55
  5. Step 5: Solve for x
    x = 756,014.55/716.02
  6. Step 6: Final answer
    x = 1,055.86

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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.