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Finding the Fourth Proportional to 779.80, 1,170.05 and 414.16

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Solution

The fourth proportional to 779.80, 1,170.05 and 414.16 is: 621.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.80 : 1,170.05 = 414.16 : x
  2. Step 2: Convert to fraction form
    779.80/1,170.05 = 414.16/x
  3. Step 3: Cross multiply
    779.80x = 1,170.05 × 414.16
  4. Step 4: Simplify right side
    779.80x = 484,589.49
  5. Step 5: Solve for x
    x = 484,589.49/779.80
  6. Step 6: Final answer
    x = 621.43

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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.