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Finding the Fourth Proportional to 1,186.89, 1,638.12 and 714.87

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Solution

The fourth proportional to 1,186.89, 1,638.12 and 714.87 is: 986.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.89 : 1,638.12 = 714.87 : x
  2. Step 2: Convert to fraction form
    1,186.89/1,638.12 = 714.87/x
  3. Step 3: Cross multiply
    1,186.89x = 1,638.12 × 714.87
  4. Step 4: Simplify right side
    1,186.89x = 1,171,042.84
  5. Step 5: Solve for x
    x = 1,171,042.84/1,186.89
  6. Step 6: Final answer
    x = 986.65

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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.