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Finding the Fourth Proportional to 641.05, 883.84 and 430.90

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Solution

The fourth proportional to 641.05, 883.84 and 430.90 is: 594.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.05 : 883.84 = 430.90 : x
  2. Step 2: Convert to fraction form
    641.05/883.84 = 430.90/x
  3. Step 3: Cross multiply
    641.05x = 883.84 × 430.90
  4. Step 4: Simplify right side
    641.05x = 380,843.37
  5. Step 5: Solve for x
    x = 380,843.37/641.05
  6. Step 6: Final answer
    x = 594.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.