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Finding the Fourth Proportional to 779.29, 1,074.33 and 557.84

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Solution

The fourth proportional to 779.29, 1,074.33 and 557.84 is: 769.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.29 : 1,074.33 = 557.84 : x
  2. Step 2: Convert to fraction form
    779.29/1,074.33 = 557.84/x
  3. Step 3: Cross multiply
    779.29x = 1,074.33 × 557.84
  4. Step 4: Simplify right side
    779.29x = 599,304.25
  5. Step 5: Solve for x
    x = 599,304.25/779.29
  6. Step 6: Final answer
    x = 769.04

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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.