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Finding the Fourth Proportional to 1,108.17, 1,662.14 and 328.14

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Solution

The fourth proportional to 1,108.17, 1,662.14 and 328.14 is: 492.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.17 : 1,662.14 = 328.14 : x
  2. Step 2: Convert to fraction form
    1,108.17/1,662.14 = 328.14/x
  3. Step 3: Cross multiply
    1,108.17x = 1,662.14 × 328.14
  4. Step 4: Simplify right side
    1,108.17x = 545,412.98
  5. Step 5: Solve for x
    x = 545,412.98/1,108.17
  6. Step 6: Final answer
    x = 492.17

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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.