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Finding the Fourth Proportional to 564.57, 847.36 and 333.92

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Solution

The fourth proportional to 564.57, 847.36 and 333.92 is: 501.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.57 : 847.36 = 333.92 : x
  2. Step 2: Convert to fraction form
    564.57/847.36 = 333.92/x
  3. Step 3: Cross multiply
    564.57x = 847.36 × 333.92
  4. Step 4: Simplify right side
    564.57x = 282,952.99
  5. Step 5: Solve for x
    x = 282,952.99/564.57
  6. Step 6: Final answer
    x = 501.18

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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.