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Finding the Fourth Proportional to 564.03, 846.14 and 255.83

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Solution

The fourth proportional to 564.03, 846.14 and 255.83 is: 383.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.03 : 846.14 = 255.83 : x
  2. Step 2: Convert to fraction form
    564.03/846.14 = 255.83/x
  3. Step 3: Cross multiply
    564.03x = 846.14 × 255.83
  4. Step 4: Simplify right side
    564.03x = 216,462.49
  5. Step 5: Solve for x
    x = 216,462.49/564.03
  6. Step 6: Final answer
    x = 383.78

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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.