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Finding the Fourth Proportional to 596.04, 892.20 and 431.40

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Solution

The fourth proportional to 596.04, 892.20 and 431.40 is: 645.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.04 : 892.20 = 431.40 : x
  2. Step 2: Convert to fraction form
    596.04/892.20 = 431.40/x
  3. Step 3: Cross multiply
    596.04x = 892.20 × 431.40
  4. Step 4: Simplify right side
    596.04x = 384,895.08
  5. Step 5: Solve for x
    x = 384,895.08/596.04
  6. Step 6: Final answer
    x = 645.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.