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Finding the Fourth Proportional to 1,482.43, 2,223.61 and 386.78

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Solution

The fourth proportional to 1,482.43, 2,223.61 and 386.78 is: 580.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.43 : 2,223.61 = 386.78 : x
  2. Step 2: Convert to fraction form
    1,482.43/2,223.61 = 386.78/x
  3. Step 3: Cross multiply
    1,482.43x = 2,223.61 × 386.78
  4. Step 4: Simplify right side
    1,482.43x = 860,047.88
  5. Step 5: Solve for x
    x = 860,047.88/1,482.43
  6. Step 6: Final answer
    x = 580.16

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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.