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Finding the Fourth Proportional to 631.90, 871.99 and 366.35

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Solution

The fourth proportional to 631.90, 871.99 and 366.35 is: 505.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.90 : 871.99 = 366.35 : x
  2. Step 2: Convert to fraction form
    631.90/871.99 = 366.35/x
  3. Step 3: Cross multiply
    631.90x = 871.99 × 366.35
  4. Step 4: Simplify right side
    631.90x = 319,451.74
  5. Step 5: Solve for x
    x = 319,451.74/631.90
  6. Step 6: Final answer
    x = 505.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.