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Finding the Fourth Proportional to 564.95, 846.21 and 392.42

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Solution

The fourth proportional to 564.95, 846.21 and 392.42 is: 587.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.95 : 846.21 = 392.42 : x
  2. Step 2: Convert to fraction form
    564.95/846.21 = 392.42/x
  3. Step 3: Cross multiply
    564.95x = 846.21 × 392.42
  4. Step 4: Simplify right side
    564.95x = 332,069.73
  5. Step 5: Solve for x
    x = 332,069.73/564.95
  6. Step 6: Final answer
    x = 587.79

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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.