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Finding the Fourth Proportional to 564.69, 846.03 and 345.20

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Solution

The fourth proportional to 564.69, 846.03 and 345.20 is: 517.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.69 : 846.03 = 345.20 : x
  2. Step 2: Convert to fraction form
    564.69/846.03 = 345.20/x
  3. Step 3: Cross multiply
    564.69x = 846.03 × 345.20
  4. Step 4: Simplify right side
    564.69x = 292,049.56
  5. Step 5: Solve for x
    x = 292,049.56/564.69
  6. Step 6: Final answer
    x = 517.19

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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.