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Finding the Fourth Proportional to 853.90, 1,178.70 and 559.24

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Solution

The fourth proportional to 853.90, 1,178.70 and 559.24 is: 771.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.90 : 1,178.70 = 559.24 : x
  2. Step 2: Convert to fraction form
    853.90/1,178.70 = 559.24/x
  3. Step 3: Cross multiply
    853.90x = 1,178.70 × 559.24
  4. Step 4: Simplify right side
    853.90x = 659,176.19
  5. Step 5: Solve for x
    x = 659,176.19/853.90
  6. Step 6: Final answer
    x = 771.96

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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.