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Finding the Fourth Proportional to 1,021.31, 1,409.42 and 555.56

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Solution

The fourth proportional to 1,021.31, 1,409.42 and 555.56 is: 766.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.31 : 1,409.42 = 555.56 : x
  2. Step 2: Convert to fraction form
    1,021.31/1,409.42 = 555.56/x
  3. Step 3: Cross multiply
    1,021.31x = 1,409.42 × 555.56
  4. Step 4: Simplify right side
    1,021.31x = 783,022.29
  5. Step 5: Solve for x
    x = 783,022.29/1,021.31
  6. Step 6: Final answer
    x = 766.68

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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.