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Finding the Fourth Proportional to 851.54, 1,175.41 and 537.33

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Solution

The fourth proportional to 851.54, 1,175.41 and 537.33 is: 741.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.54 : 1,175.41 = 537.33 : x
  2. Step 2: Convert to fraction form
    851.54/1,175.41 = 537.33/x
  3. Step 3: Cross multiply
    851.54x = 1,175.41 × 537.33
  4. Step 4: Simplify right side
    851.54x = 631,583.06
  5. Step 5: Solve for x
    x = 631,583.06/851.54
  6. Step 6: Final answer
    x = 741.70

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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.