Home / 1,419.02-2,127.36-494.45

Finding the Fourth Proportional to 1,419.02, 2,127.36 and 494.45

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Solution

The fourth proportional to 1,419.02, 2,127.36 and 494.45 is: 741.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.02 : 2,127.36 = 494.45 : x
  2. Step 2: Convert to fraction form
    1,419.02/2,127.36 = 494.45/x
  3. Step 3: Cross multiply
    1,419.02x = 2,127.36 × 494.45
  4. Step 4: Simplify right side
    1,419.02x = 1,051,884.31
  5. Step 5: Solve for x
    x = 1,051,884.31/1,419.02
  6. Step 6: Final answer
    x = 741.28

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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.