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Finding the Fourth Proportional to 857.06, 1,182.80 and 646.86

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Solution

The fourth proportional to 857.06, 1,182.80 and 646.86 is: 892.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.06 : 1,182.80 = 646.86 : x
  2. Step 2: Convert to fraction form
    857.06/1,182.80 = 646.86/x
  3. Step 3: Cross multiply
    857.06x = 1,182.80 × 646.86
  4. Step 4: Simplify right side
    857.06x = 765,106.01
  5. Step 5: Solve for x
    x = 765,106.01/857.06
  6. Step 6: Final answer
    x = 892.71

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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.