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Finding the Fourth Proportional to 853.97, 1,178.62 and 657.95

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Solution

The fourth proportional to 853.97, 1,178.62 and 657.95 is: 908.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.97 : 1,178.62 = 657.95 : x
  2. Step 2: Convert to fraction form
    853.97/1,178.62 = 657.95/x
  3. Step 3: Cross multiply
    853.97x = 1,178.62 × 657.95
  4. Step 4: Simplify right side
    853.97x = 775,465.49
  5. Step 5: Solve for x
    x = 775,465.49/853.97
  6. Step 6: Final answer
    x = 908.08

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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.