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Finding the Fourth Proportional to 851.97, 1,175.73 and 515.82

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Solution

The fourth proportional to 851.97, 1,175.73 and 515.82 is: 711.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.97 : 1,175.73 = 515.82 : x
  2. Step 2: Convert to fraction form
    851.97/1,175.73 = 515.82/x
  3. Step 3: Cross multiply
    851.97x = 1,175.73 × 515.82
  4. Step 4: Simplify right side
    851.97x = 606,465.05
  5. Step 5: Solve for x
    x = 606,465.05/851.97
  6. Step 6: Final answer
    x = 711.84

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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.