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Finding the Fourth Proportional to 433.13, 646.27 and 406.88

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Solution

The fourth proportional to 433.13, 646.27 and 406.88 is: 607.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.13 : 646.27 = 406.88 : x
  2. Step 2: Convert to fraction form
    433.13/646.27 = 406.88/x
  3. Step 3: Cross multiply
    433.13x = 646.27 × 406.88
  4. Step 4: Simplify right side
    433.13x = 262,951.61
  5. Step 5: Solve for x
    x = 262,951.61/433.13
  6. Step 6: Final answer
    x = 607.09

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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.