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Finding the Fourth Proportional to 903.06, 1,243.89 and 842.58

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Solution

The fourth proportional to 903.06, 1,243.89 and 842.58 is: 1,160.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.06 : 1,243.89 = 842.58 : x
  2. Step 2: Convert to fraction form
    903.06/1,243.89 = 842.58/x
  3. Step 3: Cross multiply
    903.06x = 1,243.89 × 842.58
  4. Step 4: Simplify right side
    903.06x = 1,048,076.84
  5. Step 5: Solve for x
    x = 1,048,076.84/903.06
  6. Step 6: Final answer
    x = 1,160.58

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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.