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Finding the Fourth Proportional to 883.64, 1,219.32 and 490.65

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Solution

The fourth proportional to 883.64, 1,219.32 and 490.65 is: 677.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.64 : 1,219.32 = 490.65 : x
  2. Step 2: Convert to fraction form
    883.64/1,219.32 = 490.65/x
  3. Step 3: Cross multiply
    883.64x = 1,219.32 × 490.65
  4. Step 4: Simplify right side
    883.64x = 598,259.36
  5. Step 5: Solve for x
    x = 598,259.36/883.64
  6. Step 6: Final answer
    x = 677.04

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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.