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Finding the Fourth Proportional to 883.49, 1,324.25 and 420.89

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Solution

The fourth proportional to 883.49, 1,324.25 and 420.89 is: 630.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.49 : 1,324.25 = 420.89 : x
  2. Step 2: Convert to fraction form
    883.49/1,324.25 = 420.89/x
  3. Step 3: Cross multiply
    883.49x = 1,324.25 × 420.89
  4. Step 4: Simplify right side
    883.49x = 557,361.48
  5. Step 5: Solve for x
    x = 557,361.48/883.49
  6. Step 6: Final answer
    x = 630.86

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.