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Finding the Fourth Proportional to 433.92, 647.70 and 432.80

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Solution

The fourth proportional to 433.92, 647.70 and 432.80 is: 646.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.92 : 647.70 = 432.80 : x
  2. Step 2: Convert to fraction form
    433.92/647.70 = 432.80/x
  3. Step 3: Cross multiply
    433.92x = 647.70 × 432.80
  4. Step 4: Simplify right side
    433.92x = 280,324.56
  5. Step 5: Solve for x
    x = 280,324.56/433.92
  6. Step 6: Final answer
    x = 646.03

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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.