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Finding the Fourth Proportional to 635.65, 952.42 and 391.66

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Solution

The fourth proportional to 635.65, 952.42 and 391.66 is: 586.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.65 : 952.42 = 391.66 : x
  2. Step 2: Convert to fraction form
    635.65/952.42 = 391.66/x
  3. Step 3: Cross multiply
    635.65x = 952.42 × 391.66
  4. Step 4: Simplify right side
    635.65x = 373,024.82
  5. Step 5: Solve for x
    x = 373,024.82/635.65
  6. Step 6: Final answer
    x = 586.84

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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.