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Finding the Fourth Proportional to 772.69, 1,157.95 and 669.72

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Solution

The fourth proportional to 772.69, 1,157.95 and 669.72 is: 1,003.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.69 : 1,157.95 = 669.72 : x
  2. Step 2: Convert to fraction form
    772.69/1,157.95 = 669.72/x
  3. Step 3: Cross multiply
    772.69x = 1,157.95 × 669.72
  4. Step 4: Simplify right side
    772.69x = 775,502.27
  5. Step 5: Solve for x
    x = 775,502.27/772.69
  6. Step 6: Final answer
    x = 1,003.64

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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.