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Finding the Fourth Proportional to 884.02, 1,219.93 and 491.04

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Solution

The fourth proportional to 884.02, 1,219.93 and 491.04 is: 677.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.02 : 1,219.93 = 491.04 : x
  2. Step 2: Convert to fraction form
    884.02/1,219.93 = 491.04/x
  3. Step 3: Cross multiply
    884.02x = 1,219.93 × 491.04
  4. Step 4: Simplify right side
    884.02x = 599,034.43
  5. Step 5: Solve for x
    x = 599,034.43/884.02
  6. Step 6: Final answer
    x = 677.63

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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.