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Finding the Fourth Proportional to 843.81, 1,258.41 and 772.93

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Solution

The fourth proportional to 843.81, 1,258.41 and 772.93 is: 1,152.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.81 : 1,258.41 = 772.93 : x
  2. Step 2: Convert to fraction form
    843.81/1,258.41 = 772.93/x
  3. Step 3: Cross multiply
    843.81x = 1,258.41 × 772.93
  4. Step 4: Simplify right side
    843.81x = 972,662.84
  5. Step 5: Solve for x
    x = 972,662.84/843.81
  6. Step 6: Final answer
    x = 1,152.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.