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Finding the Fourth Proportional to 488.28, 671.94 and 422.40

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Solution

The fourth proportional to 488.28, 671.94 and 422.40 is: 581.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.28 : 671.94 = 422.40 : x
  2. Step 2: Convert to fraction form
    488.28/671.94 = 422.40/x
  3. Step 3: Cross multiply
    488.28x = 671.94 × 422.40
  4. Step 4: Simplify right side
    488.28x = 283,827.46
  5. Step 5: Solve for x
    x = 283,827.46/488.28
  6. Step 6: Final answer
    x = 581.28

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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.