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Finding the Fourth Proportional to 854.86, 1,179.75 and 505.50

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Solution

The fourth proportional to 854.86, 1,179.75 and 505.50 is: 697.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.86 : 1,179.75 = 505.50 : x
  2. Step 2: Convert to fraction form
    854.86/1,179.75 = 505.50/x
  3. Step 3: Cross multiply
    854.86x = 1,179.75 × 505.50
  4. Step 4: Simplify right side
    854.86x = 596,363.63
  5. Step 5: Solve for x
    x = 596,363.63/854.86
  6. Step 6: Final answer
    x = 697.62

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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.