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Finding the Fourth Proportional to 771.20, 1,151.74 and 674

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Solution

The fourth proportional to 771.20, 1,151.74 and 674 is: 1,006.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.20 : 1,151.74 = 674 : x
  2. Step 2: Convert to fraction form
    771.20/1,151.74 = 674/x
  3. Step 3: Cross multiply
    771.20x = 1,151.74 × 674
  4. Step 4: Simplify right side
    771.20x = 776,272.76
  5. Step 5: Solve for x
    x = 776,272.76/771.20
  6. Step 6: Final answer
    x = 1,006.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.