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Finding the Fourth Proportional to 883.62, 1,219.40 and 490.72

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Solution

The fourth proportional to 883.62, 1,219.40 and 490.72 is: 677.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.62 : 1,219.40 = 490.72 : x
  2. Step 2: Convert to fraction form
    883.62/1,219.40 = 490.72/x
  3. Step 3: Cross multiply
    883.62x = 1,219.40 × 490.72
  4. Step 4: Simplify right side
    883.62x = 598,383.97
  5. Step 5: Solve for x
    x = 598,383.97/883.62
  6. Step 6: Final answer
    x = 677.20

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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.