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Finding the Fourth Proportional to 628.85, 943.50 and 421.46

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Solution

The fourth proportional to 628.85, 943.50 and 421.46 is: 632.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.85 : 943.50 = 421.46 : x
  2. Step 2: Convert to fraction form
    628.85/943.50 = 421.46/x
  3. Step 3: Cross multiply
    628.85x = 943.50 × 421.46
  4. Step 4: Simplify right side
    628.85x = 397,649.87
  5. Step 5: Solve for x
    x = 397,649.87/628.85
  6. Step 6: Final answer
    x = 632.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.