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Finding the Fourth Proportional to 486.11, 670.47 and 420.50

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Solution

The fourth proportional to 486.11, 670.47 and 420.50 is: 579.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.11 : 670.47 = 420.50 : x
  2. Step 2: Convert to fraction form
    486.11/670.47 = 420.50/x
  3. Step 3: Cross multiply
    486.11x = 670.47 × 420.50
  4. Step 4: Simplify right side
    486.11x = 281,932.64
  5. Step 5: Solve for x
    x = 281,932.64/486.11
  6. Step 6: Final answer
    x = 579.98

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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.