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Finding the Fourth Proportional to 563.48, 845.36 and 289.56

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Solution

The fourth proportional to 563.48, 845.36 and 289.56 is: 434.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.48 : 845.36 = 289.56 : x
  2. Step 2: Convert to fraction form
    563.48/845.36 = 289.56/x
  3. Step 3: Cross multiply
    563.48x = 845.36 × 289.56
  4. Step 4: Simplify right side
    563.48x = 244,780.99
  5. Step 5: Solve for x
    x = 244,780.99/563.48
  6. Step 6: Final answer
    x = 434.41

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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.