Home / 1,403.51-2,105.16-429.57

Finding the Fourth Proportional to 1,403.51, 2,105.16 and 429.57

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Solution

The fourth proportional to 1,403.51, 2,105.16 and 429.57 is: 644.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.51 : 2,105.16 = 429.57 : x
  2. Step 2: Convert to fraction form
    1,403.51/2,105.16 = 429.57/x
  3. Step 3: Cross multiply
    1,403.51x = 2,105.16 × 429.57
  4. Step 4: Simplify right side
    1,403.51x = 904,313.58
  5. Step 5: Solve for x
    x = 904,313.58/1,403.51
  6. Step 6: Final answer
    x = 644.33

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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.