Home / 1,028.46-1,419.51-655.14

Finding the Fourth Proportional to 1,028.46, 1,419.51 and 655.14

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Solution

The fourth proportional to 1,028.46, 1,419.51 and 655.14 is: 904.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.46 : 1,419.51 = 655.14 : x
  2. Step 2: Convert to fraction form
    1,028.46/1,419.51 = 655.14/x
  3. Step 3: Cross multiply
    1,028.46x = 1,419.51 × 655.14
  4. Step 4: Simplify right side
    1,028.46x = 929,977.78
  5. Step 5: Solve for x
    x = 929,977.78/1,028.46
  6. Step 6: Final answer
    x = 904.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.