Home / 1,478.42-2,217.39-382.75

Finding the Fourth Proportional to 1,478.42, 2,217.39 and 382.75

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Solution

The fourth proportional to 1,478.42, 2,217.39 and 382.75 is: 574.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.42 : 2,217.39 = 382.75 : x
  2. Step 2: Convert to fraction form
    1,478.42/2,217.39 = 382.75/x
  3. Step 3: Cross multiply
    1,478.42x = 2,217.39 × 382.75
  4. Step 4: Simplify right side
    1,478.42x = 848,706.02
  5. Step 5: Solve for x
    x = 848,706.02/1,478.42
  6. Step 6: Final answer
    x = 574.06

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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.