Home / 1,108.14-1,662.47-328.13

Finding the Fourth Proportional to 1,108.14, 1,662.47 and 328.13

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Solution

The fourth proportional to 1,108.14, 1,662.47 and 328.13 is: 492.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.14 : 1,662.47 = 328.13 : x
  2. Step 2: Convert to fraction form
    1,108.14/1,662.47 = 328.13/x
  3. Step 3: Cross multiply
    1,108.14x = 1,662.47 × 328.13
  4. Step 4: Simplify right side
    1,108.14x = 545,496.33
  5. Step 5: Solve for x
    x = 545,496.33/1,108.14
  6. Step 6: Final answer
    x = 492.26

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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.