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Finding the Fourth Proportional to 1,028.42, 1,418.28 and 988.46

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Solution

The fourth proportional to 1,028.42, 1,418.28 and 988.46 is: 1,363.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.42 : 1,418.28 = 988.46 : x
  2. Step 2: Convert to fraction form
    1,028.42/1,418.28 = 988.46/x
  3. Step 3: Cross multiply
    1,028.42x = 1,418.28 × 988.46
  4. Step 4: Simplify right side
    1,028.42x = 1,401,913.05
  5. Step 5: Solve for x
    x = 1,401,913.05/1,028.42
  6. Step 6: Final answer
    x = 1,363.17

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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.