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Finding the Fourth Proportional to 883.83, 1,219.64 and 490.85

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Solution

The fourth proportional to 883.83, 1,219.64 and 490.85 is: 677.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.83 : 1,219.64 = 490.85 : x
  2. Step 2: Convert to fraction form
    883.83/1,219.64 = 490.85/x
  3. Step 3: Cross multiply
    883.83x = 1,219.64 × 490.85
  4. Step 4: Simplify right side
    883.83x = 598,660.29
  5. Step 5: Solve for x
    x = 598,660.29/883.83
  6. Step 6: Final answer
    x = 677.35

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Double scale
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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.