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Finding the Fourth Proportional to 1,403.75, 2,105.64 and 363.68

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Solution

The fourth proportional to 1,403.75, 2,105.64 and 363.68 is: 545.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.75 : 2,105.64 = 363.68 : x
  2. Step 2: Convert to fraction form
    1,403.75/2,105.64 = 363.68/x
  3. Step 3: Cross multiply
    1,403.75x = 2,105.64 × 363.68
  4. Step 4: Simplify right side
    1,403.75x = 765,779.11
  5. Step 5: Solve for x
    x = 765,779.11/1,403.75
  6. Step 6: Final answer
    x = 545.52

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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.