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Finding the Fourth Proportional to 635.27, 953.13 and 288.57

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Solution

The fourth proportional to 635.27, 953.13 and 288.57 is: 432.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.27 : 953.13 = 288.57 : x
  2. Step 2: Convert to fraction form
    635.27/953.13 = 288.57/x
  3. Step 3: Cross multiply
    635.27x = 953.13 × 288.57
  4. Step 4: Simplify right side
    635.27x = 275,044.72
  5. Step 5: Solve for x
    x = 275,044.72/635.27
  6. Step 6: Final answer
    x = 432.96

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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.