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Finding the Fourth Proportional to 594.45, 892.31 and 430.11

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Solution

The fourth proportional to 594.45, 892.31 and 430.11 is: 645.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.45 : 892.31 = 430.11 : x
  2. Step 2: Convert to fraction form
    594.45/892.31 = 430.11/x
  3. Step 3: Cross multiply
    594.45x = 892.31 × 430.11
  4. Step 4: Simplify right side
    594.45x = 383,789.30
  5. Step 5: Solve for x
    x = 383,789.30/594.45
  6. Step 6: Final answer
    x = 645.62

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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.