Home / 1,546.25-2,319.09-450.35

Finding the Fourth Proportional to 1,546.25, 2,319.09 and 450.35

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Solution

The fourth proportional to 1,546.25, 2,319.09 and 450.35 is: 675.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.25 : 2,319.09 = 450.35 : x
  2. Step 2: Convert to fraction form
    1,546.25/2,319.09 = 450.35/x
  3. Step 3: Cross multiply
    1,546.25x = 2,319.09 × 450.35
  4. Step 4: Simplify right side
    1,546.25x = 1,044,402.18
  5. Step 5: Solve for x
    x = 1,044,402.18/1,546.25
  6. Step 6: Final answer
    x = 675.44

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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.