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Finding the Fourth Proportional to 884.01, 1,219.98 and 491.03

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Solution

The fourth proportional to 884.01, 1,219.98 and 491.03 is: 677.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.01 : 1,219.98 = 491.03 : x
  2. Step 2: Convert to fraction form
    884.01/1,219.98 = 491.03/x
  3. Step 3: Cross multiply
    884.01x = 1,219.98 × 491.03
  4. Step 4: Simplify right side
    884.01x = 599,047.10
  5. Step 5: Solve for x
    x = 599,047.10/884.01
  6. Step 6: Final answer
    x = 677.65

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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.