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Finding the Fourth Proportional to 1,202.10, 1,659.05 and 678.23

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Solution

The fourth proportional to 1,202.10, 1,659.05 and 678.23 is: 936.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.10 : 1,659.05 = 678.23 : x
  2. Step 2: Convert to fraction form
    1,202.10/1,659.05 = 678.23/x
  3. Step 3: Cross multiply
    1,202.10x = 1,659.05 × 678.23
  4. Step 4: Simplify right side
    1,202.10x = 1,125,217.48
  5. Step 5: Solve for x
    x = 1,125,217.48/1,202.10
  6. Step 6: Final answer
    x = 936.04

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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.