Home / 1,163.86-1,746.14-342.16

Finding the Fourth Proportional to 1,163.86, 1,746.14 and 342.16

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Solution

The fourth proportional to 1,163.86, 1,746.14 and 342.16 is: 513.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.86 : 1,746.14 = 342.16 : x
  2. Step 2: Convert to fraction form
    1,163.86/1,746.14 = 342.16/x
  3. Step 3: Cross multiply
    1,163.86x = 1,746.14 × 342.16
  4. Step 4: Simplify right side
    1,163.86x = 597,453.19
  5. Step 5: Solve for x
    x = 597,453.19/1,163.86
  6. Step 6: Final answer
    x = 513.34

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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.