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Finding the Fourth Proportional to 564.96, 845.72 and 345

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Solution

The fourth proportional to 564.96, 845.72 and 345 is: 516.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.96 : 845.72 = 345 : x
  2. Step 2: Convert to fraction form
    564.96/845.72 = 345/x
  3. Step 3: Cross multiply
    564.96x = 845.72 × 345
  4. Step 4: Simplify right side
    564.96x = 291,773.40
  5. Step 5: Solve for x
    x = 291,773.40/564.96
  6. Step 6: Final answer
    x = 516.45

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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.