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Finding the Fourth Proportional to 433.64, 646.22 and 432.92

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Solution

The fourth proportional to 433.64, 646.22 and 432.92 is: 645.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.64 : 646.22 = 432.92 : x
  2. Step 2: Convert to fraction form
    433.64/646.22 = 432.92/x
  3. Step 3: Cross multiply
    433.64x = 646.22 × 432.92
  4. Step 4: Simplify right side
    433.64x = 279,761.56
  5. Step 5: Solve for x
    x = 279,761.56/433.64
  6. Step 6: Final answer
    x = 645.15

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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.