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Finding the Fourth Proportional to 798.80, 1,097.14 and 779.60

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Solution

The fourth proportional to 798.80, 1,097.14 and 779.60 is: 1,070.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.80 : 1,097.14 = 779.60 : x
  2. Step 2: Convert to fraction form
    798.80/1,097.14 = 779.60/x
  3. Step 3: Cross multiply
    798.80x = 1,097.14 × 779.60
  4. Step 4: Simplify right side
    798.80x = 855,330.34
  5. Step 5: Solve for x
    x = 855,330.34/798.80
  6. Step 6: Final answer
    x = 1,070.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.