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Finding the Fourth Proportional to 898.41, 1,236.94 and 766.89

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Solution

The fourth proportional to 898.41, 1,236.94 and 766.89 is: 1,055.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.41 : 1,236.94 = 766.89 : x
  2. Step 2: Convert to fraction form
    898.41/1,236.94 = 766.89/x
  3. Step 3: Cross multiply
    898.41x = 1,236.94 × 766.89
  4. Step 4: Simplify right side
    898.41x = 948,596.92
  5. Step 5: Solve for x
    x = 948,596.92/898.41
  6. Step 6: Final answer
    x = 1,055.86

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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.