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Finding the Fourth Proportional to 1,238.31, 1,709.01 and 714.33

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Solution

The fourth proportional to 1,238.31, 1,709.01 and 714.33 is: 985.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.31 : 1,709.01 = 714.33 : x
  2. Step 2: Convert to fraction form
    1,238.31/1,709.01 = 714.33/x
  3. Step 3: Cross multiply
    1,238.31x = 1,709.01 × 714.33
  4. Step 4: Simplify right side
    1,238.31x = 1,220,797.11
  5. Step 5: Solve for x
    x = 1,220,797.11/1,238.31
  6. Step 6: Final answer
    x = 985.86

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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.