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Finding the Fourth Proportional to 1,202.97, 1,659.75 and 705.63

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Solution

The fourth proportional to 1,202.97, 1,659.75 and 705.63 is: 973.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.97 : 1,659.75 = 705.63 : x
  2. Step 2: Convert to fraction form
    1,202.97/1,659.75 = 705.63/x
  3. Step 3: Cross multiply
    1,202.97x = 1,659.75 × 705.63
  4. Step 4: Simplify right side
    1,202.97x = 1,171,166.75
  5. Step 5: Solve for x
    x = 1,171,166.75/1,202.97
  6. Step 6: Final answer
    x = 973.56

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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.