Home / 1,317.53-1,976.27-537.53

Finding the Fourth Proportional to 1,317.53, 1,976.27 and 537.53

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Solution

The fourth proportional to 1,317.53, 1,976.27 and 537.53 is: 806.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.53 : 1,976.27 = 537.53 : x
  2. Step 2: Convert to fraction form
    1,317.53/1,976.27 = 537.53/x
  3. Step 3: Cross multiply
    1,317.53x = 1,976.27 × 537.53
  4. Step 4: Simplify right side
    1,317.53x = 1,062,291.84
  5. Step 5: Solve for x
    x = 1,062,291.84/1,317.53
  6. Step 6: Final answer
    x = 806.28

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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.