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Finding the Fourth Proportional to 852.36, 1,175.58 and 541.32

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Solution

The fourth proportional to 852.36, 1,175.58 and 541.32 is: 746.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.36 : 1,175.58 = 541.32 : x
  2. Step 2: Convert to fraction form
    852.36/1,175.58 = 541.32/x
  3. Step 3: Cross multiply
    852.36x = 1,175.58 × 541.32
  4. Step 4: Simplify right side
    852.36x = 636,364.97
  5. Step 5: Solve for x
    x = 636,364.97/852.36
  6. Step 6: Final answer
    x = 746.59

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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.