Home / 1,176.10-1,764.95-406.60

Finding the Fourth Proportional to 1,176.10, 1,764.95 and 406.60

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Solution

The fourth proportional to 1,176.10, 1,764.95 and 406.60 is: 610.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.10 : 1,764.95 = 406.60 : x
  2. Step 2: Convert to fraction form
    1,176.10/1,764.95 = 406.60/x
  3. Step 3: Cross multiply
    1,176.10x = 1,764.95 × 406.60
  4. Step 4: Simplify right side
    1,176.10x = 717,625.27
  5. Step 5: Solve for x
    x = 717,625.27/1,176.10
  6. Step 6: Final answer
    x = 610.17

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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.