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Finding the Fourth Proportional to 854.53, 1,178.17 and 559.33

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Solution

The fourth proportional to 854.53, 1,178.17 and 559.33 is: 771.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.53 : 1,178.17 = 559.33 : x
  2. Step 2: Convert to fraction form
    854.53/1,178.17 = 559.33/x
  3. Step 3: Cross multiply
    854.53x = 1,178.17 × 559.33
  4. Step 4: Simplify right side
    854.53x = 658,985.83
  5. Step 5: Solve for x
    x = 658,985.83/854.53
  6. Step 6: Final answer
    x = 771.17

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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.