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Finding the Fourth Proportional to 1,258.75, 1,879.88 and 1,085.77

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Solution

The fourth proportional to 1,258.75, 1,879.88 and 1,085.77 is: 1,621.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.75 : 1,879.88 = 1,085.77 : x
  2. Step 2: Convert to fraction form
    1,258.75/1,879.88 = 1,085.77/x
  3. Step 3: Cross multiply
    1,258.75x = 1,879.88 × 1,085.77
  4. Step 4: Simplify right side
    1,258.75x = 2,041,117.31
  5. Step 5: Solve for x
    x = 2,041,117.31/1,258.75
  6. Step 6: Final answer
    x = 1,621.54

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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.