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Finding the Fourth Proportional to 564.38, 846.88 and 427.40

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Solution

The fourth proportional to 564.38, 846.88 and 427.40 is: 641.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.38 : 846.88 = 427.40 : x
  2. Step 2: Convert to fraction form
    564.38/846.88 = 427.40/x
  3. Step 3: Cross multiply
    564.38x = 846.88 × 427.40
  4. Step 4: Simplify right side
    564.38x = 361,951.21
  5. Step 5: Solve for x
    x = 361,951.21/564.38
  6. Step 6: Final answer
    x = 641.32

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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.