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Finding the Fourth Proportional to 1,362.43, 1,880.14 and 802.92

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Solution

The fourth proportional to 1,362.43, 1,880.14 and 802.92 is: 1,108.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.43 : 1,880.14 = 802.92 : x
  2. Step 2: Convert to fraction form
    1,362.43/1,880.14 = 802.92/x
  3. Step 3: Cross multiply
    1,362.43x = 1,880.14 × 802.92
  4. Step 4: Simplify right side
    1,362.43x = 1,509,608.73
  5. Step 5: Solve for x
    x = 1,509,608.73/1,362.43
  6. Step 6: Final answer
    x = 1,108.03

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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.