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Finding the Fourth Proportional to 848.24, 1,266.86 and 842.72

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Solution

The fourth proportional to 848.24, 1,266.86 and 842.72 is: 1,258.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.24 : 1,266.86 = 842.72 : x
  2. Step 2: Convert to fraction form
    848.24/1,266.86 = 842.72/x
  3. Step 3: Cross multiply
    848.24x = 1,266.86 × 842.72
  4. Step 4: Simplify right side
    848.24x = 1,067,608.26
  5. Step 5: Solve for x
    x = 1,067,608.26/848.24
  6. Step 6: Final answer
    x = 1,258.62

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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.