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Finding the Fourth Proportional to 631.69, 871.82 and 604.01

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Solution

The fourth proportional to 631.69, 871.82 and 604.01 is: 833.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.69 : 871.82 = 604.01 : x
  2. Step 2: Convert to fraction form
    631.69/871.82 = 604.01/x
  3. Step 3: Cross multiply
    631.69x = 871.82 × 604.01
  4. Step 4: Simplify right side
    631.69x = 526,589.42
  5. Step 5: Solve for x
    x = 526,589.42/631.69
  6. Step 6: Final answer
    x = 833.62

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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.