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Finding the Fourth Proportional to 1,036.40, 1,553.16 and 779.60

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Solution

The fourth proportional to 1,036.40, 1,553.16 and 779.60 is: 1,168.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.40 : 1,553.16 = 779.60 : x
  2. Step 2: Convert to fraction form
    1,036.40/1,553.16 = 779.60/x
  3. Step 3: Cross multiply
    1,036.40x = 1,553.16 × 779.60
  4. Step 4: Simplify right side
    1,036.40x = 1,210,843.54
  5. Step 5: Solve for x
    x = 1,210,843.54/1,036.40
  6. Step 6: Final answer
    x = 1,168.32

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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.