Home / 1,402.23-2,103.57-428.25

Finding the Fourth Proportional to 1,402.23, 2,103.57 and 428.25

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Solution

The fourth proportional to 1,402.23, 2,103.57 and 428.25 is: 642.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.23 : 2,103.57 = 428.25 : x
  2. Step 2: Convert to fraction form
    1,402.23/2,103.57 = 428.25/x
  3. Step 3: Cross multiply
    1,402.23x = 2,103.57 × 428.25
  4. Step 4: Simplify right side
    1,402.23x = 900,853.85
  5. Step 5: Solve for x
    x = 900,853.85/1,402.23
  6. Step 6: Final answer
    x = 642.44

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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.