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Finding the Fourth Proportional to 1,186.90, 1,638.33 and 715.06

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Solution

The fourth proportional to 1,186.90, 1,638.33 and 715.06 is: 987.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.90 : 1,638.33 = 715.06 : x
  2. Step 2: Convert to fraction form
    1,186.90/1,638.33 = 715.06/x
  3. Step 3: Cross multiply
    1,186.90x = 1,638.33 × 715.06
  4. Step 4: Simplify right side
    1,186.90x = 1,171,504.25
  5. Step 5: Solve for x
    x = 1,171,504.25/1,186.90
  6. Step 6: Final answer
    x = 987.03

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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.