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Finding the Fourth Proportional to 1,170.82, 1,615.65 and 646.78

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Solution

The fourth proportional to 1,170.82, 1,615.65 and 646.78 is: 892.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.82 : 1,615.65 = 646.78 : x
  2. Step 2: Convert to fraction form
    1,170.82/1,615.65 = 646.78/x
  3. Step 3: Cross multiply
    1,170.82x = 1,615.65 × 646.78
  4. Step 4: Simplify right side
    1,170.82x = 1,044,970.11
  5. Step 5: Solve for x
    x = 1,044,970.11/1,170.82
  6. Step 6: Final answer
    x = 892.51

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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.