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Finding the Fourth Proportional to 429.23, 588.48 and 421.45

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Solution

The fourth proportional to 429.23, 588.48 and 421.45 is: 577.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.23 : 588.48 = 421.45 : x
  2. Step 2: Convert to fraction form
    429.23/588.48 = 421.45/x
  3. Step 3: Cross multiply
    429.23x = 588.48 × 421.45
  4. Step 4: Simplify right side
    429.23x = 248,014.90
  5. Step 5: Solve for x
    x = 248,014.90/429.23
  6. Step 6: Final answer
    x = 577.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.