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Finding the Fourth Proportional to 564.77, 845.10 and 333.77

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Solution

The fourth proportional to 564.77, 845.10 and 333.77 is: 499.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.77 : 845.10 = 333.77 : x
  2. Step 2: Convert to fraction form
    564.77/845.10 = 333.77/x
  3. Step 3: Cross multiply
    564.77x = 845.10 × 333.77
  4. Step 4: Simplify right side
    564.77x = 282,064.80
  5. Step 5: Solve for x
    x = 282,064.80/564.77
  6. Step 6: Final answer
    x = 499.43

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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.