Home / 1,403.41-2,105.43-429.60

Finding the Fourth Proportional to 1,403.41, 2,105.43 and 429.60

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Solution

The fourth proportional to 1,403.41, 2,105.43 and 429.60 is: 644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.41 : 2,105.43 = 429.60 : x
  2. Step 2: Convert to fraction form
    1,403.41/2,105.43 = 429.60/x
  3. Step 3: Cross multiply
    1,403.41x = 2,105.43 × 429.60
  4. Step 4: Simplify right side
    1,403.41x = 904,492.73
  5. Step 5: Solve for x
    x = 904,492.73/1,403.41
  6. Step 6: Final answer
    x = 644.50

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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.