Home / 1,402.45-2,103.27-428.34

Finding the Fourth Proportional to 1,402.45, 2,103.27 and 428.34

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Solution

The fourth proportional to 1,402.45, 2,103.27 and 428.34 is: 642.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.45 : 2,103.27 = 428.34 : x
  2. Step 2: Convert to fraction form
    1,402.45/2,103.27 = 428.34/x
  3. Step 3: Cross multiply
    1,402.45x = 2,103.27 × 428.34
  4. Step 4: Simplify right side
    1,402.45x = 900,914.67
  5. Step 5: Solve for x
    x = 900,914.67/1,402.45
  6. Step 6: Final answer
    x = 642.39

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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.