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Finding the Fourth Proportional to 1,206.42, 1,806.27 and 620.16

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Solution

The fourth proportional to 1,206.42, 1,806.27 and 620.16 is: 928.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.42 : 1,806.27 = 620.16 : x
  2. Step 2: Convert to fraction form
    1,206.42/1,806.27 = 620.16/x
  3. Step 3: Cross multiply
    1,206.42x = 1,806.27 × 620.16
  4. Step 4: Simplify right side
    1,206.42x = 1,120,176.40
  5. Step 5: Solve for x
    x = 1,120,176.40/1,206.42
  6. Step 6: Final answer
    x = 928.51

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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.