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Finding the Fourth Proportional to 1,170.78, 1,615.70 and 646.82

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Solution

The fourth proportional to 1,170.78, 1,615.70 and 646.82 is: 892.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.78 : 1,615.70 = 646.82 : x
  2. Step 2: Convert to fraction form
    1,170.78/1,615.70 = 646.82/x
  3. Step 3: Cross multiply
    1,170.78x = 1,615.70 × 646.82
  4. Step 4: Simplify right side
    1,170.78x = 1,045,055.76
  5. Step 5: Solve for x
    x = 1,045,055.76/1,170.78
  6. Step 6: Final answer
    x = 892.61

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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.