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Finding the Fourth Proportional to 779.34, 1,170.66 and 490.98

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Solution

The fourth proportional to 779.34, 1,170.66 and 490.98 is: 737.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.34 : 1,170.66 = 490.98 : x
  2. Step 2: Convert to fraction form
    779.34/1,170.66 = 490.98/x
  3. Step 3: Cross multiply
    779.34x = 1,170.66 × 490.98
  4. Step 4: Simplify right side
    779.34x = 574,770.65
  5. Step 5: Solve for x
    x = 574,770.65/779.34
  6. Step 6: Final answer
    x = 737.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.