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Finding the Fourth Proportional to 1,212, 1,672.49 and 714.62

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Solution

The fourth proportional to 1,212, 1,672.49 and 714.62 is: 986.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212 : 1,672.49 = 714.62 : x
  2. Step 2: Convert to fraction form
    1,212/1,672.49 = 714.62/x
  3. Step 3: Cross multiply
    1,212x = 1,672.49 × 714.62
  4. Step 4: Simplify right side
    1,212x = 1,195,182.87
  5. Step 5: Solve for x
    x = 1,195,182.87/1,212
  6. Step 6: Final answer
    x = 986.12

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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.