Home / 1,317.93-1,976.91-496.20

Finding the Fourth Proportional to 1,317.93, 1,976.91 and 496.20

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Solution

The fourth proportional to 1,317.93, 1,976.91 and 496.20 is: 744.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.93 : 1,976.91 = 496.20 : x
  2. Step 2: Convert to fraction form
    1,317.93/1,976.91 = 496.20/x
  3. Step 3: Cross multiply
    1,317.93x = 1,976.91 × 496.20
  4. Step 4: Simplify right side
    1,317.93x = 980,942.74
  5. Step 5: Solve for x
    x = 980,942.74/1,317.93
  6. Step 6: Final answer
    x = 744.31

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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.