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Finding the Fourth Proportional to 1,028.39, 1,419.64 and 655.88

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Solution

The fourth proportional to 1,028.39, 1,419.64 and 655.88 is: 905.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.39 : 1,419.64 = 655.88 : x
  2. Step 2: Convert to fraction form
    1,028.39/1,419.64 = 655.88/x
  3. Step 3: Cross multiply
    1,028.39x = 1,419.64 × 655.88
  4. Step 4: Simplify right side
    1,028.39x = 931,113.48
  5. Step 5: Solve for x
    x = 931,113.48/1,028.39
  6. Step 6: Final answer
    x = 905.41

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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.