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Finding the Fourth Proportional to 475.50, 656.34 and 420.42

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Solution

The fourth proportional to 475.50, 656.34 and 420.42 is: 580.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.50 : 656.34 = 420.42 : x
  2. Step 2: Convert to fraction form
    475.50/656.34 = 420.42/x
  3. Step 3: Cross multiply
    475.50x = 656.34 × 420.42
  4. Step 4: Simplify right side
    475.50x = 275,938.46
  5. Step 5: Solve for x
    x = 275,938.46/475.50
  6. Step 6: Final answer
    x = 580.31

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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.