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Finding the Fourth Proportional to 1,021.54, 1,409.24 and 628.42

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Solution

The fourth proportional to 1,021.54, 1,409.24 and 628.42 is: 866.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.54 : 1,409.24 = 628.42 : x
  2. Step 2: Convert to fraction form
    1,021.54/1,409.24 = 628.42/x
  3. Step 3: Cross multiply
    1,021.54x = 1,409.24 × 628.42
  4. Step 4: Simplify right side
    1,021.54x = 885,594.60
  5. Step 5: Solve for x
    x = 885,594.60/1,021.54
  6. Step 6: Final answer
    x = 866.92

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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.