Home / 1,423.41-2,135.90-546.49

Finding the Fourth Proportional to 1,423.41, 2,135.90 and 546.49

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Solution

The fourth proportional to 1,423.41, 2,135.90 and 546.49 is: 820.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.41 : 2,135.90 = 546.49 : x
  2. Step 2: Convert to fraction form
    1,423.41/2,135.90 = 546.49/x
  3. Step 3: Cross multiply
    1,423.41x = 2,135.90 × 546.49
  4. Step 4: Simplify right side
    1,423.41x = 1,167,245.26
  5. Step 5: Solve for x
    x = 1,167,245.26/1,423.41
  6. Step 6: Final answer
    x = 820.04

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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.