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Finding the Fourth Proportional to 1,202.17, 1,659 and 678.21

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Solution

The fourth proportional to 1,202.17, 1,659 and 678.21 is: 935.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.17 : 1,659 = 678.21 : x
  2. Step 2: Convert to fraction form
    1,202.17/1,659 = 678.21/x
  3. Step 3: Cross multiply
    1,202.17x = 1,659 × 678.21
  4. Step 4: Simplify right side
    1,202.17x = 1,125,150.39
  5. Step 5: Solve for x
    x = 1,125,150.39/1,202.17
  6. Step 6: Final answer
    x = 935.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.