Home / 1,403.67-2,105.61-429.78

Finding the Fourth Proportional to 1,403.67, 2,105.61 and 429.78

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Solution

The fourth proportional to 1,403.67, 2,105.61 and 429.78 is: 644.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.67 : 2,105.61 = 429.78 : x
  2. Step 2: Convert to fraction form
    1,403.67/2,105.61 = 429.78/x
  3. Step 3: Cross multiply
    1,403.67x = 2,105.61 × 429.78
  4. Step 4: Simplify right side
    1,403.67x = 904,949.07
  5. Step 5: Solve for x
    x = 904,949.07/1,403.67
  6. Step 6: Final answer
    x = 644.70

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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.