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Finding the Fourth Proportional to 854.34, 1,278.60 and 546.40

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Solution

The fourth proportional to 854.34, 1,278.60 and 546.40 is: 817.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.34 : 1,278.60 = 546.40 : x
  2. Step 2: Convert to fraction form
    854.34/1,278.60 = 546.40/x
  3. Step 3: Cross multiply
    854.34x = 1,278.60 × 546.40
  4. Step 4: Simplify right side
    854.34x = 698,627.04
  5. Step 5: Solve for x
    x = 698,627.04/854.34
  6. Step 6: Final answer
    x = 817.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.