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Finding the Fourth Proportional to 628.78, 941.18 and 432.62

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Solution

The fourth proportional to 628.78, 941.18 and 432.62 is: 647.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.78 : 941.18 = 432.62 : x
  2. Step 2: Convert to fraction form
    628.78/941.18 = 432.62/x
  3. Step 3: Cross multiply
    628.78x = 941.18 × 432.62
  4. Step 4: Simplify right side
    628.78x = 407,173.29
  5. Step 5: Solve for x
    x = 407,173.29/628.78
  6. Step 6: Final answer
    x = 647.56

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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.