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Finding the Fourth Proportional to 564.05, 846.08 and 303.89

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Solution

The fourth proportional to 564.05, 846.08 and 303.89 is: 455.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.05 : 846.08 = 303.89 : x
  2. Step 2: Convert to fraction form
    564.05/846.08 = 303.89/x
  3. Step 3: Cross multiply
    564.05x = 846.08 × 303.89
  4. Step 4: Simplify right side
    564.05x = 257,109.50
  5. Step 5: Solve for x
    x = 257,109.50/564.05
  6. Step 6: Final answer
    x = 455.83

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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.