Home / 1,420.86-2,131.47-496.14

Finding the Fourth Proportional to 1,420.86, 2,131.47 and 496.14

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Solution

The fourth proportional to 1,420.86, 2,131.47 and 496.14 is: 744.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.86 : 2,131.47 = 496.14 : x
  2. Step 2: Convert to fraction form
    1,420.86/2,131.47 = 496.14/x
  3. Step 3: Cross multiply
    1,420.86x = 2,131.47 × 496.14
  4. Step 4: Simplify right side
    1,420.86x = 1,057,507.53
  5. Step 5: Solve for x
    x = 1,057,507.53/1,420.86
  6. Step 6: Final answer
    x = 744.27

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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.