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Finding the Fourth Proportional to 1,362.22, 1,879.81 and 802.96

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Solution

The fourth proportional to 1,362.22, 1,879.81 and 802.96 is: 1,108.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.22 : 1,879.81 = 802.96 : x
  2. Step 2: Convert to fraction form
    1,362.22/1,879.81 = 802.96/x
  3. Step 3: Cross multiply
    1,362.22x = 1,879.81 × 802.96
  4. Step 4: Simplify right side
    1,362.22x = 1,509,416.10
  5. Step 5: Solve for x
    x = 1,509,416.10/1,362.22
  6. Step 6: Final answer
    x = 1,108.06

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