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Finding the Fourth Proportional to 475.60, 713.40 and 420.88

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Solution

The fourth proportional to 475.60, 713.40 and 420.88 is: 631.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.60 : 713.40 = 420.88 : x
  2. Step 2: Convert to fraction form
    475.60/713.40 = 420.88/x
  3. Step 3: Cross multiply
    475.60x = 713.40 × 420.88
  4. Step 4: Simplify right side
    475.60x = 300,255.79
  5. Step 5: Solve for x
    x = 300,255.79/475.60
  6. Step 6: Final answer
    x = 631.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.