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Finding the Fourth Proportional to 1,021.79, 1,409.82 and 596.34

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Solution

The fourth proportional to 1,021.79, 1,409.82 and 596.34 is: 822.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.79 : 1,409.82 = 596.34 : x
  2. Step 2: Convert to fraction form
    1,021.79/1,409.82 = 596.34/x
  3. Step 3: Cross multiply
    1,021.79x = 1,409.82 × 596.34
  4. Step 4: Simplify right side
    1,021.79x = 840,732.06
  5. Step 5: Solve for x
    x = 840,732.06/1,021.79
  6. Step 6: Final answer
    x = 822.80

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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.