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Finding the Fourth Proportional to 851.90, 1,284.92 and 750.45

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Solution

The fourth proportional to 851.90, 1,284.92 and 750.45 is: 1,131.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.90 : 1,284.92 = 750.45 : x
  2. Step 2: Convert to fraction form
    851.90/1,284.92 = 750.45/x
  3. Step 3: Cross multiply
    851.90x = 1,284.92 × 750.45
  4. Step 4: Simplify right side
    851.90x = 964,270.09
  5. Step 5: Solve for x
    x = 964,270.09/851.90
  6. Step 6: Final answer
    x = 1,131.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.