Home / 1,430.08-2,144.56-780.48

Finding the Fourth Proportional to 1,430.08, 2,144.56 and 780.48

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Solution

The fourth proportional to 1,430.08, 2,144.56 and 780.48 is: 1,170.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.08 : 2,144.56 = 780.48 : x
  2. Step 2: Convert to fraction form
    1,430.08/2,144.56 = 780.48/x
  3. Step 3: Cross multiply
    1,430.08x = 2,144.56 × 780.48
  4. Step 4: Simplify right side
    1,430.08x = 1,673,786.19
  5. Step 5: Solve for x
    x = 1,673,786.19/1,430.08
  6. Step 6: Final answer
    x = 1,170.41

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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.