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Finding the Fourth Proportional to 716.91, 1,077.21 and 696.84

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Solution

The fourth proportional to 716.91, 1,077.21 and 696.84 is: 1,047.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.91 : 1,077.21 = 696.84 : x
  2. Step 2: Convert to fraction form
    716.91/1,077.21 = 696.84/x
  3. Step 3: Cross multiply
    716.91x = 1,077.21 × 696.84
  4. Step 4: Simplify right side
    716.91x = 750,643.02
  5. Step 5: Solve for x
    x = 750,643.02/716.91
  6. Step 6: Final answer
    x = 1,047.05

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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.