Home / 1,419.46-2,129.76-761.33

Finding the Fourth Proportional to 1,419.46, 2,129.76 and 761.33

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Solution

The fourth proportional to 1,419.46, 2,129.76 and 761.33 is: 1,142.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.46 : 2,129.76 = 761.33 : x
  2. Step 2: Convert to fraction form
    1,419.46/2,129.76 = 761.33/x
  3. Step 3: Cross multiply
    1,419.46x = 2,129.76 × 761.33
  4. Step 4: Simplify right side
    1,419.46x = 1,621,455.51
  5. Step 5: Solve for x
    x = 1,621,455.51/1,419.46
  6. Step 6: Final answer
    x = 1,142.31

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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.