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Finding the Fourth Proportional to 488.32, 671.62 and 422.96

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Solution

The fourth proportional to 488.32, 671.62 and 422.96 is: 581.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.32 : 671.62 = 422.96 : x
  2. Step 2: Convert to fraction form
    488.32/671.62 = 422.96/x
  3. Step 3: Cross multiply
    488.32x = 671.62 × 422.96
  4. Step 4: Simplify right side
    488.32x = 284,068.40
  5. Step 5: Solve for x
    x = 284,068.40/488.32
  6. Step 6: Final answer
    x = 581.73

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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.