Home / 1,403.26-2,104.71-429.10

Finding the Fourth Proportional to 1,403.26, 2,104.71 and 429.10

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Solution

The fourth proportional to 1,403.26, 2,104.71 and 429.10 is: 643.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.26 : 2,104.71 = 429.10 : x
  2. Step 2: Convert to fraction form
    1,403.26/2,104.71 = 429.10/x
  3. Step 3: Cross multiply
    1,403.26x = 2,104.71 × 429.10
  4. Step 4: Simplify right side
    1,403.26x = 903,131.06
  5. Step 5: Solve for x
    x = 903,131.06/1,403.26
  6. Step 6: Final answer
    x = 643.59

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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.