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Finding the Fourth Proportional to 1,303.78, 1,799.22 and 779.80

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Solution

The fourth proportional to 1,303.78, 1,799.22 and 779.80 is: 1,076.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.78 : 1,799.22 = 779.80 : x
  2. Step 2: Convert to fraction form
    1,303.78/1,799.22 = 779.80/x
  3. Step 3: Cross multiply
    1,303.78x = 1,799.22 × 779.80
  4. Step 4: Simplify right side
    1,303.78x = 1,403,031.76
  5. Step 5: Solve for x
    x = 1,403,031.76/1,303.78
  6. Step 6: Final answer
    x = 1,076.13

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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.