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Finding the Fourth Proportional to 884.10, 1,325.18 and 559.64

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Solution

The fourth proportional to 884.10, 1,325.18 and 559.64 is: 838.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.10 : 1,325.18 = 559.64 : x
  2. Step 2: Convert to fraction form
    884.10/1,325.18 = 559.64/x
  3. Step 3: Cross multiply
    884.10x = 1,325.18 × 559.64
  4. Step 4: Simplify right side
    884.10x = 741,623.74
  5. Step 5: Solve for x
    x = 741,623.74/884.10
  6. Step 6: Final answer
    x = 838.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.