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Finding the Fourth Proportional to 1,299.92, 1,794.49 and 802.85

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Solution

The fourth proportional to 1,299.92, 1,794.49 and 802.85 is: 1,108.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.92 : 1,794.49 = 802.85 : x
  2. Step 2: Convert to fraction form
    1,299.92/1,794.49 = 802.85/x
  3. Step 3: Cross multiply
    1,299.92x = 1,794.49 × 802.85
  4. Step 4: Simplify right side
    1,299.92x = 1,440,706.30
  5. Step 5: Solve for x
    x = 1,440,706.30/1,299.92
  6. Step 6: Final answer
    x = 1,108.30

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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.