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Finding the Fourth Proportional to 884.32, 1,219.08 and 698.02

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Solution

The fourth proportional to 884.32, 1,219.08 and 698.02 is: 962.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.32 : 1,219.08 = 698.02 : x
  2. Step 2: Convert to fraction form
    884.32/1,219.08 = 698.02/x
  3. Step 3: Cross multiply
    884.32x = 1,219.08 × 698.02
  4. Step 4: Simplify right side
    884.32x = 850,942.22
  5. Step 5: Solve for x
    x = 850,942.22/884.32
  6. Step 6: Final answer
    x = 962.26

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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.