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Finding the Fourth Proportional to 854.30, 1,178.93 and 461.32

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Solution

The fourth proportional to 854.30, 1,178.93 and 461.32 is: 636.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.30 : 1,178.93 = 461.32 : x
  2. Step 2: Convert to fraction form
    854.30/1,178.93 = 461.32/x
  3. Step 3: Cross multiply
    854.30x = 1,178.93 × 461.32
  4. Step 4: Simplify right side
    854.30x = 543,864.21
  5. Step 5: Solve for x
    x = 543,864.21/854.30
  6. Step 6: Final answer
    x = 636.62

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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.