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Finding the Fourth Proportional to 779.49, 1,074.78 and 558.36

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Solution

The fourth proportional to 779.49, 1,074.78 and 558.36 is: 769.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.49 : 1,074.78 = 558.36 : x
  2. Step 2: Convert to fraction form
    779.49/1,074.78 = 558.36/x
  3. Step 3: Cross multiply
    779.49x = 1,074.78 × 558.36
  4. Step 4: Simplify right side
    779.49x = 600,114.16
  5. Step 5: Solve for x
    x = 600,114.16/779.49
  6. Step 6: Final answer
    x = 769.88

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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.