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Finding the Fourth Proportional to 771.58, 1,150.34 and 738.91

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Solution

The fourth proportional to 771.58, 1,150.34 and 738.91 is: 1,101.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.58 : 1,150.34 = 738.91 : x
  2. Step 2: Convert to fraction form
    771.58/1,150.34 = 738.91/x
  3. Step 3: Cross multiply
    771.58x = 1,150.34 × 738.91
  4. Step 4: Simplify right side
    771.58x = 849,997.73
  5. Step 5: Solve for x
    x = 849,997.73/771.58
  6. Step 6: Final answer
    x = 1,101.63

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Why These Related Problems?

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