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Finding the Fourth Proportional to 905.52, 1,365.54 and 851.76

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Solution

The fourth proportional to 905.52, 1,365.54 and 851.76 is: 1,284.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.52 : 1,365.54 = 851.76 : x
  2. Step 2: Convert to fraction form
    905.52/1,365.54 = 851.76/x
  3. Step 3: Cross multiply
    905.52x = 1,365.54 × 851.76
  4. Step 4: Simplify right side
    905.52x = 1,163,112.35
  5. Step 5: Solve for x
    x = 1,163,112.35/905.52
  6. Step 6: Final answer
    x = 1,284.47

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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.