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Finding the Fourth Proportional to 631.90, 948.42 and 339.64

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Solution

The fourth proportional to 631.90, 948.42 and 339.64 is: 509.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.90 : 948.42 = 339.64 : x
  2. Step 2: Convert to fraction form
    631.90/948.42 = 339.64/x
  3. Step 3: Cross multiply
    631.90x = 948.42 × 339.64
  4. Step 4: Simplify right side
    631.90x = 322,121.37
  5. Step 5: Solve for x
    x = 322,121.37/631.90
  6. Step 6: Final answer
    x = 509.77

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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.