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Finding the Fourth Proportional to 1,297.51, 1,945.36 and 639.52

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Solution

The fourth proportional to 1,297.51, 1,945.36 and 639.52 is: 958.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.51 : 1,945.36 = 639.52 : x
  2. Step 2: Convert to fraction form
    1,297.51/1,945.36 = 639.52/x
  3. Step 3: Cross multiply
    1,297.51x = 1,945.36 × 639.52
  4. Step 4: Simplify right side
    1,297.51x = 1,244,096.63
  5. Step 5: Solve for x
    x = 1,244,096.63/1,297.51
  6. Step 6: Final answer
    x = 958.83

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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.