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Finding the Fourth Proportional to 852.05, 1,175.01 and 640.64

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Solution

The fourth proportional to 852.05, 1,175.01 and 640.64 is: 883.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.05 : 1,175.01 = 640.64 : x
  2. Step 2: Convert to fraction form
    852.05/1,175.01 = 640.64/x
  3. Step 3: Cross multiply
    852.05x = 1,175.01 × 640.64
  4. Step 4: Simplify right side
    852.05x = 752,758.94
  5. Step 5: Solve for x
    x = 752,758.94/852.05
  6. Step 6: Final answer
    x = 883.47

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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.