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Finding the Fourth Proportional to 774.84, 1,160.64 and 721.56

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Solution

The fourth proportional to 774.84, 1,160.64 and 721.56 is: 1,080.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.84 : 1,160.64 = 721.56 : x
  2. Step 2: Convert to fraction form
    774.84/1,160.64 = 721.56/x
  3. Step 3: Cross multiply
    774.84x = 1,160.64 × 721.56
  4. Step 4: Simplify right side
    774.84x = 837,471.40
  5. Step 5: Solve for x
    x = 837,471.40/774.84
  6. Step 6: Final answer
    x = 1,080.83

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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.