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Finding the Fourth Proportional to 1,170.82, 1,615.71 and 646.85

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Solution

The fourth proportional to 1,170.82, 1,615.71 and 646.85 is: 892.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.82 : 1,615.71 = 646.85 : x
  2. Step 2: Convert to fraction form
    1,170.82/1,615.71 = 646.85/x
  3. Step 3: Cross multiply
    1,170.82x = 1,615.71 × 646.85
  4. Step 4: Simplify right side
    1,170.82x = 1,045,128.48
  5. Step 5: Solve for x
    x = 1,045,128.48/1,170.82
  6. Step 6: Final answer
    x = 892.65

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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.