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Finding the Fourth Proportional to 429.42, 588.74 and 421.63

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Solution

The fourth proportional to 429.42, 588.74 and 421.63 is: 578.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.42 : 588.74 = 421.63 : x
  2. Step 2: Convert to fraction form
    429.42/588.74 = 421.63/x
  3. Step 3: Cross multiply
    429.42x = 588.74 × 421.63
  4. Step 4: Simplify right side
    429.42x = 248,230.45
  5. Step 5: Solve for x
    x = 248,230.45/429.42
  6. Step 6: Final answer
    x = 578.06

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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.