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Finding the Fourth Proportional to 779.75, 1,168.91 and 409.48

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Solution

The fourth proportional to 779.75, 1,168.91 and 409.48 is: 613.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.75 : 1,168.91 = 409.48 : x
  2. Step 2: Convert to fraction form
    779.75/1,168.91 = 409.48/x
  3. Step 3: Cross multiply
    779.75x = 1,168.91 × 409.48
  4. Step 4: Simplify right side
    779.75x = 478,643.22
  5. Step 5: Solve for x
    x = 478,643.22/779.75
  6. Step 6: Final answer
    x = 613.84

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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.