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Finding the Fourth Proportional to 635.61, 952.75 and 310.57

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Solution

The fourth proportional to 635.61, 952.75 and 310.57 is: 465.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.61 : 952.75 = 310.57 : x
  2. Step 2: Convert to fraction form
    635.61/952.75 = 310.57/x
  3. Step 3: Cross multiply
    635.61x = 952.75 × 310.57
  4. Step 4: Simplify right side
    635.61x = 295,895.57
  5. Step 5: Solve for x
    x = 295,895.57/635.61
  6. Step 6: Final answer
    x = 465.53

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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.