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Finding the Fourth Proportional to 852.63, 1,286.08 and 802.05

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Solution

The fourth proportional to 852.63, 1,286.08 and 802.05 is: 1,209.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.63 : 1,286.08 = 802.05 : x
  2. Step 2: Convert to fraction form
    852.63/1,286.08 = 802.05/x
  3. Step 3: Cross multiply
    852.63x = 1,286.08 × 802.05
  4. Step 4: Simplify right side
    852.63x = 1,031,500.87
  5. Step 5: Solve for x
    x = 1,031,500.87/852.63
  6. Step 6: Final answer
    x = 1,209.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.