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Finding the Fourth Proportional to 1,085.20, 1,627.80 and 842.20

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Solution

The fourth proportional to 1,085.20, 1,627.80 and 842.20 is: 1,263.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.20 : 1,627.80 = 842.20 : x
  2. Step 2: Convert to fraction form
    1,085.20/1,627.80 = 842.20/x
  3. Step 3: Cross multiply
    1,085.20x = 1,627.80 × 842.20
  4. Step 4: Simplify right side
    1,085.20x = 1,370,933.16
  5. Step 5: Solve for x
    x = 1,370,933.16/1,085.20
  6. Step 6: Final answer
    x = 1,263.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.