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Finding the Fourth Proportional to 1,308.71, 1,955.15 and 842.69

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Solution

The fourth proportional to 1,308.71, 1,955.15 and 842.69 is: 1,258.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.71 : 1,955.15 = 842.69 : x
  2. Step 2: Convert to fraction form
    1,308.71/1,955.15 = 842.69/x
  3. Step 3: Cross multiply
    1,308.71x = 1,955.15 × 842.69
  4. Step 4: Simplify right side
    1,308.71x = 1,647,571.36
  5. Step 5: Solve for x
    x = 1,647,571.36/1,308.71
  6. Step 6: Final answer
    x = 1,258.93

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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.