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Finding the Fourth Proportional to 851.76, 1,175.46 and 665.46

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Solution

The fourth proportional to 851.76, 1,175.46 and 665.46 is: 918.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.76 : 1,175.46 = 665.46 : x
  2. Step 2: Convert to fraction form
    851.76/1,175.46 = 665.46/x
  3. Step 3: Cross multiply
    851.76x = 1,175.46 × 665.46
  4. Step 4: Simplify right side
    851.76x = 782,221.61
  5. Step 5: Solve for x
    x = 782,221.61/851.76
  6. Step 6: Final answer
    x = 918.36

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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.