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Finding the Fourth Proportional to 1,202.07, 1,659.02 and 704.71

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Solution

The fourth proportional to 1,202.07, 1,659.02 and 704.71 is: 972.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.07 : 1,659.02 = 704.71 : x
  2. Step 2: Convert to fraction form
    1,202.07/1,659.02 = 704.71/x
  3. Step 3: Cross multiply
    1,202.07x = 1,659.02 × 704.71
  4. Step 4: Simplify right side
    1,202.07x = 1,169,126.53
  5. Step 5: Solve for x
    x = 1,169,126.53/1,202.07
  6. Step 6: Final answer
    x = 972.59

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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.