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Finding the Fourth Proportional to 852.97, 1,175.97 and 558.13

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Solution

The fourth proportional to 852.97, 1,175.97 and 558.13 is: 769.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.97 : 1,175.97 = 558.13 : x
  2. Step 2: Convert to fraction form
    852.97/1,175.97 = 558.13/x
  3. Step 3: Cross multiply
    852.97x = 1,175.97 × 558.13
  4. Step 4: Simplify right side
    852.97x = 656,344.14
  5. Step 5: Solve for x
    x = 656,344.14/852.97
  6. Step 6: Final answer
    x = 769.48

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1.5x scale

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.