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Finding the Fourth Proportional to 1,020.84, 1,409.03 and 579

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Solution

The fourth proportional to 1,020.84, 1,409.03 and 579 is: 799.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.84 : 1,409.03 = 579 : x
  2. Step 2: Convert to fraction form
    1,020.84/1,409.03 = 579/x
  3. Step 3: Cross multiply
    1,020.84x = 1,409.03 × 579
  4. Step 4: Simplify right side
    1,020.84x = 815,828.37
  5. Step 5: Solve for x
    x = 815,828.37/1,020.84
  6. Step 6: Final answer
    x = 799.17

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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.