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Finding the Fourth Proportional to 854.20, 1,178.43 and 574.52

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Solution

The fourth proportional to 854.20, 1,178.43 and 574.52 is: 792.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.20 : 1,178.43 = 574.52 : x
  2. Step 2: Convert to fraction form
    854.20/1,178.43 = 574.52/x
  3. Step 3: Cross multiply
    854.20x = 1,178.43 × 574.52
  4. Step 4: Simplify right side
    854.20x = 677,031.60
  5. Step 5: Solve for x
    x = 677,031.60/854.20
  6. Step 6: Final answer
    x = 792.60

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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.