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Finding the Fourth Proportional to 1,546.23, 2,316.39 and 920.19

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Solution

The fourth proportional to 1,546.23, 2,316.39 and 920.19 is: 1,378.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.23 : 2,316.39 = 920.19 : x
  2. Step 2: Convert to fraction form
    1,546.23/2,316.39 = 920.19/x
  3. Step 3: Cross multiply
    1,546.23x = 2,316.39 × 920.19
  4. Step 4: Simplify right side
    1,546.23x = 2,131,518.91
  5. Step 5: Solve for x
    x = 2,131,518.91/1,546.23
  6. Step 6: Final answer
    x = 1,378.53

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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.