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Finding the Fourth Proportional to 564.95, 845.15 and 488.73

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Solution

The fourth proportional to 564.95, 845.15 and 488.73 is: 731.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.95 : 845.15 = 488.73 : x
  2. Step 2: Convert to fraction form
    564.95/845.15 = 488.73/x
  3. Step 3: Cross multiply
    564.95x = 845.15 × 488.73
  4. Step 4: Simplify right side
    564.95x = 413,051.38
  5. Step 5: Solve for x
    x = 413,051.38/564.95
  6. Step 6: Final answer
    x = 731.14

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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.