Home / 1,319.07-1,976.89-538.16

Finding the Fourth Proportional to 1,319.07, 1,976.89 and 538.16

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Solution

The fourth proportional to 1,319.07, 1,976.89 and 538.16 is: 806.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.07 : 1,976.89 = 538.16 : x
  2. Step 2: Convert to fraction form
    1,319.07/1,976.89 = 538.16/x
  3. Step 3: Cross multiply
    1,319.07x = 1,976.89 × 538.16
  4. Step 4: Simplify right side
    1,319.07x = 1,063,884.02
  5. Step 5: Solve for x
    x = 1,063,884.02/1,319.07
  6. Step 6: Final answer
    x = 806.54

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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.