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Finding the Fourth Proportional to 1,170.93, 1,615.88 and 646.97

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Solution

The fourth proportional to 1,170.93, 1,615.88 and 646.97 is: 892.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.93 : 1,615.88 = 646.97 : x
  2. Step 2: Convert to fraction form
    1,170.93/1,615.88 = 646.97/x
  3. Step 3: Cross multiply
    1,170.93x = 1,615.88 × 646.97
  4. Step 4: Simplify right side
    1,170.93x = 1,045,414.57
  5. Step 5: Solve for x
    x = 1,045,414.57/1,170.93
  6. Step 6: Final answer
    x = 892.81

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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.