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Finding the Fourth Proportional to 853.75, 1,178.18 and 504.44

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Solution

The fourth proportional to 853.75, 1,178.18 and 504.44 is: 696.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.75 : 1,178.18 = 504.44 : x
  2. Step 2: Convert to fraction form
    853.75/1,178.18 = 504.44/x
  3. Step 3: Cross multiply
    853.75x = 1,178.18 × 504.44
  4. Step 4: Simplify right side
    853.75x = 594,318.60
  5. Step 5: Solve for x
    x = 594,318.60/853.75
  6. Step 6: Final answer
    x = 696.13

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1.5x scale

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.