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Finding the Fourth Proportional to 853.71, 1,178.43 and 657.78

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Solution

The fourth proportional to 853.71, 1,178.43 and 657.78 is: 907.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.71 : 1,178.43 = 657.78 : x
  2. Step 2: Convert to fraction form
    853.71/1,178.43 = 657.78/x
  3. Step 3: Cross multiply
    853.71x = 1,178.43 × 657.78
  4. Step 4: Simplify right side
    853.71x = 775,147.69
  5. Step 5: Solve for x
    x = 775,147.69/853.71
  6. Step 6: Final answer
    x = 907.98

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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.