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Finding the Fourth Proportional to 883.80, 1,219.72 and 490.86

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Solution

The fourth proportional to 883.80, 1,219.72 and 490.86 is: 677.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.80 : 1,219.72 = 490.86 : x
  2. Step 2: Convert to fraction form
    883.80/1,219.72 = 490.86/x
  3. Step 3: Cross multiply
    883.80x = 1,219.72 × 490.86
  4. Step 4: Simplify right side
    883.80x = 598,711.76
  5. Step 5: Solve for x
    x = 598,711.76/883.80
  6. Step 6: Final answer
    x = 677.43

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Half scale
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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.