Home / 1,318.26-1,977.62-538.68

Finding the Fourth Proportional to 1,318.26, 1,977.62 and 538.68

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Solution

The fourth proportional to 1,318.26, 1,977.62 and 538.68 is: 808.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.26 : 1,977.62 = 538.68 : x
  2. Step 2: Convert to fraction form
    1,318.26/1,977.62 = 538.68/x
  3. Step 3: Cross multiply
    1,318.26x = 1,977.62 × 538.68
  4. Step 4: Simplify right side
    1,318.26x = 1,065,309.06
  5. Step 5: Solve for x
    x = 1,065,309.06/1,318.26
  6. Step 6: Final answer
    x = 808.12

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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.