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Finding the Fourth Proportional to 1,299.85, 1,793.91 and 802.78

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Solution

The fourth proportional to 1,299.85, 1,793.91 and 802.78 is: 1,107.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.85 : 1,793.91 = 802.78 : x
  2. Step 2: Convert to fraction form
    1,299.85/1,793.91 = 802.78/x
  3. Step 3: Cross multiply
    1,299.85x = 1,793.91 × 802.78
  4. Step 4: Simplify right side
    1,299.85x = 1,440,113.60
  5. Step 5: Solve for x
    x = 1,440,113.60/1,299.85
  6. Step 6: Final answer
    x = 1,107.91

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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.