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Finding the Fourth Proportional to 1,021.63, 1,524.61 and 912.28

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Solution

The fourth proportional to 1,021.63, 1,524.61 and 912.28 is: 1,361.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.63 : 1,524.61 = 912.28 : x
  2. Step 2: Convert to fraction form
    1,021.63/1,524.61 = 912.28/x
  3. Step 3: Cross multiply
    1,021.63x = 1,524.61 × 912.28
  4. Step 4: Simplify right side
    1,021.63x = 1,390,871.21
  5. Step 5: Solve for x
    x = 1,390,871.21/1,021.63
  6. Step 6: Final answer
    x = 1,361.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.