Home / 1,314.38-1,971.62-436.96

Finding the Fourth Proportional to 1,314.38, 1,971.62 and 436.96

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Solution

The fourth proportional to 1,314.38, 1,971.62 and 436.96 is: 655.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.38 : 1,971.62 = 436.96 : x
  2. Step 2: Convert to fraction form
    1,314.38/1,971.62 = 436.96/x
  3. Step 3: Cross multiply
    1,314.38x = 1,971.62 × 436.96
  4. Step 4: Simplify right side
    1,314.38x = 861,513.60
  5. Step 5: Solve for x
    x = 861,513.60/1,314.38
  6. Step 6: Final answer
    x = 655.45

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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.