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Finding the Fourth Proportional to 1,402.37, 2,103.67 and 362.36

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Solution

The fourth proportional to 1,402.37, 2,103.67 and 362.36 is: 543.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.37 : 2,103.67 = 362.36 : x
  2. Step 2: Convert to fraction form
    1,402.37/2,103.67 = 362.36/x
  3. Step 3: Cross multiply
    1,402.37x = 2,103.67 × 362.36
  4. Step 4: Simplify right side
    1,402.37x = 762,291.57
  5. Step 5: Solve for x
    x = 762,291.57/1,402.37
  6. Step 6: Final answer
    x = 543.57

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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.