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Finding the Fourth Proportional to 1,482.75, 2,224.49 and 456.75

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Solution

The fourth proportional to 1,482.75, 2,224.49 and 456.75 is: 685.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.75 : 2,224.49 = 456.75 : x
  2. Step 2: Convert to fraction form
    1,482.75/2,224.49 = 456.75/x
  3. Step 3: Cross multiply
    1,482.75x = 2,224.49 × 456.75
  4. Step 4: Simplify right side
    1,482.75x = 1,016,033.52
  5. Step 5: Solve for x
    x = 1,016,033.52/1,482.75
  6. Step 6: Final answer
    x = 685.24

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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.