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Finding the Fourth Proportional to 1,277.20, 1,762.56 and 779.89

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Solution

The fourth proportional to 1,277.20, 1,762.56 and 779.89 is: 1,076.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.20 : 1,762.56 = 779.89 : x
  2. Step 2: Convert to fraction form
    1,277.20/1,762.56 = 779.89/x
  3. Step 3: Cross multiply
    1,277.20x = 1,762.56 × 779.89
  4. Step 4: Simplify right side
    1,277.20x = 1,374,596.86
  5. Step 5: Solve for x
    x = 1,374,596.86/1,277.20
  6. Step 6: Final answer
    x = 1,076.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.