Home / 1,313.24-1,968.62-446.96

Finding the Fourth Proportional to 1,313.24, 1,968.62 and 446.96

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Solution

The fourth proportional to 1,313.24, 1,968.62 and 446.96 is: 670.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.24 : 1,968.62 = 446.96 : x
  2. Step 2: Convert to fraction form
    1,313.24/1,968.62 = 446.96/x
  3. Step 3: Cross multiply
    1,313.24x = 1,968.62 × 446.96
  4. Step 4: Simplify right side
    1,313.24x = 879,894.40
  5. Step 5: Solve for x
    x = 879,894.40/1,313.24
  6. Step 6: Final answer
    x = 670.02

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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.