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Finding the Fourth Proportional to 429.49, 588.82 and 421.70

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Solution

The fourth proportional to 429.49, 588.82 and 421.70 is: 578.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.49 : 588.82 = 421.70 : x
  2. Step 2: Convert to fraction form
    429.49/588.82 = 421.70/x
  3. Step 3: Cross multiply
    429.49x = 588.82 × 421.70
  4. Step 4: Simplify right side
    429.49x = 248,305.39
  5. Step 5: Solve for x
    x = 248,305.39/429.49
  6. Step 6: Final answer
    x = 578.14

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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.