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Finding the Fourth Proportional to 852.02, 1,175.04 and 704.40

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Solution

The fourth proportional to 852.02, 1,175.04 and 704.40 is: 971.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.02 : 1,175.04 = 704.40 : x
  2. Step 2: Convert to fraction form
    852.02/1,175.04 = 704.40/x
  3. Step 3: Cross multiply
    852.02x = 1,175.04 × 704.40
  4. Step 4: Simplify right side
    852.02x = 827,698.18
  5. Step 5: Solve for x
    x = 827,698.18/852.02
  6. Step 6: Final answer
    x = 971.45

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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.