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Finding the Fourth Proportional to 884.08, 1,219.74 and 534.64

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Solution

The fourth proportional to 884.08, 1,219.74 and 534.64 is: 737.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.08 : 1,219.74 = 534.64 : x
  2. Step 2: Convert to fraction form
    884.08/1,219.74 = 534.64/x
  3. Step 3: Cross multiply
    884.08x = 1,219.74 × 534.64
  4. Step 4: Simplify right side
    884.08x = 652,121.79
  5. Step 5: Solve for x
    x = 652,121.79/884.08
  6. Step 6: Final answer
    x = 737.63

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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.