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Finding the Fourth Proportional to 1,272.31, 1,908.78 and 646.07

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Solution

The fourth proportional to 1,272.31, 1,908.78 and 646.07 is: 969.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.31 : 1,908.78 = 646.07 : x
  2. Step 2: Convert to fraction form
    1,272.31/1,908.78 = 646.07/x
  3. Step 3: Cross multiply
    1,272.31x = 1,908.78 × 646.07
  4. Step 4: Simplify right side
    1,272.31x = 1,233,207.87
  5. Step 5: Solve for x
    x = 1,233,207.87/1,272.31
  6. Step 6: Final answer
    x = 969.26

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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.