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Finding the Fourth Proportional to 1,222.11, 1,686.04 and 802.69

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Solution

The fourth proportional to 1,222.11, 1,686.04 and 802.69 is: 1,107.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.11 : 1,686.04 = 802.69 : x
  2. Step 2: Convert to fraction form
    1,222.11/1,686.04 = 802.69/x
  3. Step 3: Cross multiply
    1,222.11x = 1,686.04 × 802.69
  4. Step 4: Simplify right side
    1,222.11x = 1,353,367.45
  5. Step 5: Solve for x
    x = 1,353,367.45/1,222.11
  6. Step 6: Final answer
    x = 1,107.40

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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.