Home / 1,230.20-1,845.63-613.16

Finding the Fourth Proportional to 1,230.20, 1,845.63 and 613.16

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Solution

The fourth proportional to 1,230.20, 1,845.63 and 613.16 is: 919.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.20 : 1,845.63 = 613.16 : x
  2. Step 2: Convert to fraction form
    1,230.20/1,845.63 = 613.16/x
  3. Step 3: Cross multiply
    1,230.20x = 1,845.63 × 613.16
  4. Step 4: Simplify right side
    1,230.20x = 1,131,657.26
  5. Step 5: Solve for x
    x = 1,131,657.26/1,230.20
  6. Step 6: Final answer
    x = 919.90

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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.