Home / 1,619.50-2,429.26-465.26

Finding the Fourth Proportional to 1,619.50, 2,429.26 and 465.26

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Solution

The fourth proportional to 1,619.50, 2,429.26 and 465.26 is: 697.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.50 : 2,429.26 = 465.26 : x
  2. Step 2: Convert to fraction form
    1,619.50/2,429.26 = 465.26/x
  3. Step 3: Cross multiply
    1,619.50x = 2,429.26 × 465.26
  4. Step 4: Simplify right side
    1,619.50x = 1,130,237.51
  5. Step 5: Solve for x
    x = 1,130,237.51/1,619.50
  6. Step 6: Final answer
    x = 697.89

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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.