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Finding the Fourth Proportional to 631.23, 871.83 and 421.06

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Solution

The fourth proportional to 631.23, 871.83 and 421.06 is: 581.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.23 : 871.83 = 421.06 : x
  2. Step 2: Convert to fraction form
    631.23/871.83 = 421.06/x
  3. Step 3: Cross multiply
    631.23x = 871.83 × 421.06
  4. Step 4: Simplify right side
    631.23x = 367,092.74
  5. Step 5: Solve for x
    x = 367,092.74/631.23
  6. Step 6: Final answer
    x = 581.55

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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.