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Finding the Fourth Proportional to 773.89, 1,166.27 and 696.94

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Solution

The fourth proportional to 773.89, 1,166.27 and 696.94 is: 1,050.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.89 : 1,166.27 = 696.94 : x
  2. Step 2: Convert to fraction form
    773.89/1,166.27 = 696.94/x
  3. Step 3: Cross multiply
    773.89x = 1,166.27 × 696.94
  4. Step 4: Simplify right side
    773.89x = 812,820.21
  5. Step 5: Solve for x
    x = 812,820.21/773.89
  6. Step 6: Final answer
    x = 1,050.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.