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Finding the Fourth Proportional to 437.90, 650.37 and 429.80

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Solution

The fourth proportional to 437.90, 650.37 and 429.80 is: 638.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.90 : 650.37 = 429.80 : x
  2. Step 2: Convert to fraction form
    437.90/650.37 = 429.80/x
  3. Step 3: Cross multiply
    437.90x = 650.37 × 429.80
  4. Step 4: Simplify right side
    437.90x = 279,526.88
  5. Step 5: Solve for x
    x = 279,526.88/437.90
  6. Step 6: Final answer
    x = 638.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.