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Finding the Fourth Proportional to 853.68, 1,178.06 and 499.82

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Solution

The fourth proportional to 853.68, 1,178.06 and 499.82 is: 689.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.68 : 1,178.06 = 499.82 : x
  2. Step 2: Convert to fraction form
    853.68/1,178.06 = 499.82/x
  3. Step 3: Cross multiply
    853.68x = 1,178.06 × 499.82
  4. Step 4: Simplify right side
    853.68x = 588,809.56
  5. Step 5: Solve for x
    x = 588,809.56/853.68
  6. Step 6: Final answer
    x = 689.73

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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.