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Finding the Fourth Proportional to 486.52, 671.68 and 420.92

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Solution

The fourth proportional to 486.52, 671.68 and 420.92 is: 581.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.52 : 671.68 = 420.92 : x
  2. Step 2: Convert to fraction form
    486.52/671.68 = 420.92/x
  3. Step 3: Cross multiply
    486.52x = 671.68 × 420.92
  4. Step 4: Simplify right side
    486.52x = 282,723.55
  5. Step 5: Solve for x
    x = 282,723.55/486.52
  6. Step 6: Final answer
    x = 581.11

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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.