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Finding the Fourth Proportional to 772.27, 1,157.32 and 669.30

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Solution

The fourth proportional to 772.27, 1,157.32 and 669.30 is: 1,003.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.27 : 1,157.32 = 669.30 : x
  2. Step 2: Convert to fraction form
    772.27/1,157.32 = 669.30/x
  3. Step 3: Cross multiply
    772.27x = 1,157.32 × 669.30
  4. Step 4: Simplify right side
    772.27x = 774,590.77
  5. Step 5: Solve for x
    x = 774,590.77/772.27
  6. Step 6: Final answer
    x = 1,003.01

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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.