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Finding the Fourth Proportional to 433.70, 596.20 and 373.66

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Solution

The fourth proportional to 433.70, 596.20 and 373.66 is: 513.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.70 : 596.20 = 373.66 : x
  2. Step 2: Convert to fraction form
    433.70/596.20 = 373.66/x
  3. Step 3: Cross multiply
    433.70x = 596.20 × 373.66
  4. Step 4: Simplify right side
    433.70x = 222,774.08
  5. Step 5: Solve for x
    x = 222,774.08/433.70
  6. Step 6: Final answer
    x = 513.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.