Home / 1,314.30-1,971.79-492.63

Finding the Fourth Proportional to 1,314.30, 1,971.79 and 492.63

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Solution

The fourth proportional to 1,314.30, 1,971.79 and 492.63 is: 739.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.30 : 1,971.79 = 492.63 : x
  2. Step 2: Convert to fraction form
    1,314.30/1,971.79 = 492.63/x
  3. Step 3: Cross multiply
    1,314.30x = 1,971.79 × 492.63
  4. Step 4: Simplify right side
    1,314.30x = 971,360.44
  5. Step 5: Solve for x
    x = 971,360.44/1,314.30
  6. Step 6: Final answer
    x = 739.07

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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.