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Finding the Fourth Proportional to 1,403.67, 2,105.41 and 429.69

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Solution

The fourth proportional to 1,403.67, 2,105.41 and 429.69 is: 644.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.67 : 2,105.41 = 429.69 : x
  2. Step 2: Convert to fraction form
    1,403.67/2,105.41 = 429.69/x
  3. Step 3: Cross multiply
    1,403.67x = 2,105.41 × 429.69
  4. Step 4: Simplify right side
    1,403.67x = 904,673.62
  5. Step 5: Solve for x
    x = 904,673.62/1,403.67
  6. Step 6: Final answer
    x = 644.51

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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.