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Finding the Fourth Proportional to 632.60, 952.68 and 564.72

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Solution

The fourth proportional to 632.60, 952.68 and 564.72 is: 850.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.60 : 952.68 = 564.72 : x
  2. Step 2: Convert to fraction form
    632.60/952.68 = 564.72/x
  3. Step 3: Cross multiply
    632.60x = 952.68 × 564.72
  4. Step 4: Simplify right side
    632.60x = 537,997.45
  5. Step 5: Solve for x
    x = 537,997.45/632.60
  6. Step 6: Final answer
    x = 850.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.