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Finding the Fourth Proportional to 433.91, 647.20 and 420.94

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Solution

The fourth proportional to 433.91, 647.20 and 420.94 is: 627.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.91 : 647.20 = 420.94 : x
  2. Step 2: Convert to fraction form
    433.91/647.20 = 420.94/x
  3. Step 3: Cross multiply
    433.91x = 647.20 × 420.94
  4. Step 4: Simplify right side
    433.91x = 272,429.70
  5. Step 5: Solve for x
    x = 272,429.70/433.91
  6. Step 6: Final answer
    x = 627.86

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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.