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Finding the Fourth Proportional to 913.06, 1,253.63 and 772.60

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Solution

The fourth proportional to 913.06, 1,253.63 and 772.60 is: 1,060.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.06 : 1,253.63 = 772.60 : x
  2. Step 2: Convert to fraction form
    913.06/1,253.63 = 772.60/x
  3. Step 3: Cross multiply
    913.06x = 1,253.63 × 772.60
  4. Step 4: Simplify right side
    913.06x = 968,554.54
  5. Step 5: Solve for x
    x = 968,554.54/913.06
  6. Step 6: Final answer
    x = 1,060.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.