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Finding the Fourth Proportional to 433.41, 596.89 and 405.62

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Solution

The fourth proportional to 433.41, 596.89 and 405.62 is: 558.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.41 : 596.89 = 405.62 : x
  2. Step 2: Convert to fraction form
    433.41/596.89 = 405.62/x
  3. Step 3: Cross multiply
    433.41x = 596.89 × 405.62
  4. Step 4: Simplify right side
    433.41x = 242,106.52
  5. Step 5: Solve for x
    x = 242,106.52/433.41
  6. Step 6: Final answer
    x = 558.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.