Home / 1,478.30-2,217.26-382.57

Finding the Fourth Proportional to 1,478.30, 2,217.26 and 382.57

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Solution

The fourth proportional to 1,478.30, 2,217.26 and 382.57 is: 573.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.30 : 2,217.26 = 382.57 : x
  2. Step 2: Convert to fraction form
    1,478.30/2,217.26 = 382.57/x
  3. Step 3: Cross multiply
    1,478.30x = 2,217.26 × 382.57
  4. Step 4: Simplify right side
    1,478.30x = 848,246.07
  5. Step 5: Solve for x
    x = 848,246.07/1,478.30
  6. Step 6: Final answer
    x = 573.80

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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.