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Finding the Fourth Proportional to 631.06, 870.31 and 394.76

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Solution

The fourth proportional to 631.06, 870.31 and 394.76 is: 544.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.06 : 870.31 = 394.76 : x
  2. Step 2: Convert to fraction form
    631.06/870.31 = 394.76/x
  3. Step 3: Cross multiply
    631.06x = 870.31 × 394.76
  4. Step 4: Simplify right side
    631.06x = 343,564.76
  5. Step 5: Solve for x
    x = 343,564.76/631.06
  6. Step 6: Final answer
    x = 544.43

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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.