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Finding the Fourth Proportional to 854.61, 1,178.75 and 523.22

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Solution

The fourth proportional to 854.61, 1,178.75 and 523.22 is: 721.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.61 : 1,178.75 = 523.22 : x
  2. Step 2: Convert to fraction form
    854.61/1,178.75 = 523.22/x
  3. Step 3: Cross multiply
    854.61x = 1,178.75 × 523.22
  4. Step 4: Simplify right side
    854.61x = 616,745.58
  5. Step 5: Solve for x
    x = 616,745.58/854.61
  6. Step 6: Final answer
    x = 721.67

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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.