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Finding the Fourth Proportional to 851.88, 1,177.06 and 678.60

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Solution

The fourth proportional to 851.88, 1,177.06 and 678.60 is: 937.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.88 : 1,177.06 = 678.60 : x
  2. Step 2: Convert to fraction form
    851.88/1,177.06 = 678.60/x
  3. Step 3: Cross multiply
    851.88x = 1,177.06 × 678.60
  4. Step 4: Simplify right side
    851.88x = 798,752.92
  5. Step 5: Solve for x
    x = 798,752.92/851.88
  6. Step 6: Final answer
    x = 937.64

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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.