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Finding the Fourth Proportional to 421.58, 631.38 and 406.98

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Solution

The fourth proportional to 421.58, 631.38 and 406.98 is: 609.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.58 : 631.38 = 406.98 : x
  2. Step 2: Convert to fraction form
    421.58/631.38 = 406.98/x
  3. Step 3: Cross multiply
    421.58x = 631.38 × 406.98
  4. Step 4: Simplify right side
    421.58x = 256,956.66
  5. Step 5: Solve for x
    x = 256,956.66/421.58
  6. Step 6: Final answer
    x = 609.52

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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.