Home / 1,230.96-1,845.75-409.02

Finding the Fourth Proportional to 1,230.96, 1,845.75 and 409.02

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Solution

The fourth proportional to 1,230.96, 1,845.75 and 409.02 is: 613.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.96 : 1,845.75 = 409.02 : x
  2. Step 2: Convert to fraction form
    1,230.96/1,845.75 = 409.02/x
  3. Step 3: Cross multiply
    1,230.96x = 1,845.75 × 409.02
  4. Step 4: Simplify right side
    1,230.96x = 754,948.67
  5. Step 5: Solve for x
    x = 754,948.67/1,230.96
  6. Step 6: Final answer
    x = 613.30

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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.