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Finding the Fourth Proportional to 636.30, 952.65 and 564.30

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Solution

The fourth proportional to 636.30, 952.65 and 564.30 is: 844.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.30 : 952.65 = 564.30 : x
  2. Step 2: Convert to fraction form
    636.30/952.65 = 564.30/x
  3. Step 3: Cross multiply
    636.30x = 952.65 × 564.30
  4. Step 4: Simplify right side
    636.30x = 537,580.40
  5. Step 5: Solve for x
    x = 537,580.40/636.30
  6. Step 6: Final answer
    x = 844.85

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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.