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Finding the Fourth Proportional to 853.59, 1,178.01 and 522.03

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Solution

The fourth proportional to 853.59, 1,178.01 and 522.03 is: 720.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.59 : 1,178.01 = 522.03 : x
  2. Step 2: Convert to fraction form
    853.59/1,178.01 = 522.03/x
  3. Step 3: Cross multiply
    853.59x = 1,178.01 × 522.03
  4. Step 4: Simplify right side
    853.59x = 614,956.56
  5. Step 5: Solve for x
    x = 614,956.56/853.59
  6. Step 6: Final answer
    x = 720.44

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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.