Home / 1,546.36-2,319.08-450.38

Finding the Fourth Proportional to 1,546.36, 2,319.08 and 450.38

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Solution

The fourth proportional to 1,546.36, 2,319.08 and 450.38 is: 675.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.36 : 2,319.08 = 450.38 : x
  2. Step 2: Convert to fraction form
    1,546.36/2,319.08 = 450.38/x
  3. Step 3: Cross multiply
    1,546.36x = 2,319.08 × 450.38
  4. Step 4: Simplify right side
    1,546.36x = 1,044,460.28
  5. Step 5: Solve for x
    x = 1,044,460.28/1,546.36
  6. Step 6: Final answer
    x = 675.43

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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.