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Finding the Fourth Proportional to 1,028.80, 1,419.64 and 697.35

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Solution

The fourth proportional to 1,028.80, 1,419.64 and 697.35 is: 962.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.80 : 1,419.64 = 697.35 : x
  2. Step 2: Convert to fraction form
    1,028.80/1,419.64 = 697.35/x
  3. Step 3: Cross multiply
    1,028.80x = 1,419.64 × 697.35
  4. Step 4: Simplify right side
    1,028.80x = 989,984.21
  5. Step 5: Solve for x
    x = 989,984.21/1,028.80
  6. Step 6: Final answer
    x = 962.27

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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.