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Finding the Fourth Proportional to 1,362.36, 1,880.69 and 802.65

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Solution

The fourth proportional to 1,362.36, 1,880.69 and 802.65 is: 1,108.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.36 : 1,880.69 = 802.65 : x
  2. Step 2: Convert to fraction form
    1,362.36/1,880.69 = 802.65/x
  3. Step 3: Cross multiply
    1,362.36x = 1,880.69 × 802.65
  4. Step 4: Simplify right side
    1,362.36x = 1,509,531.82
  5. Step 5: Solve for x
    x = 1,509,531.82/1,362.36
  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.