Home / 1,353.25-2,029.30-416.08

Finding the Fourth Proportional to 1,353.25, 2,029.30 and 416.08

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Solution

The fourth proportional to 1,353.25, 2,029.30 and 416.08 is: 623.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.25 : 2,029.30 = 416.08 : x
  2. Step 2: Convert to fraction form
    1,353.25/2,029.30 = 416.08/x
  3. Step 3: Cross multiply
    1,353.25x = 2,029.30 × 416.08
  4. Step 4: Simplify right side
    1,353.25x = 844,345.03
  5. Step 5: Solve for x
    x = 844,345.03/1,353.25
  6. Step 6: Final answer
    x = 623.94

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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.