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Finding the Fourth Proportional to 563.10, 845.10 and 289.38

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Solution

The fourth proportional to 563.10, 845.10 and 289.38 is: 434.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.10 : 845.10 = 289.38 : x
  2. Step 2: Convert to fraction form
    563.10/845.10 = 289.38/x
  3. Step 3: Cross multiply
    563.10x = 845.10 × 289.38
  4. Step 4: Simplify right side
    563.10x = 244,555.04
  5. Step 5: Solve for x
    x = 244,555.04/563.10
  6. Step 6: Final answer
    x = 434.30

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