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Finding the Fourth Proportional to 631.94, 947.30 and 339.39

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Solution

The fourth proportional to 631.94, 947.30 and 339.39 is: 508.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.94 : 947.30 = 339.39 : x
  2. Step 2: Convert to fraction form
    631.94/947.30 = 339.39/x
  3. Step 3: Cross multiply
    631.94x = 947.30 × 339.39
  4. Step 4: Simplify right side
    631.94x = 321,502.45
  5. Step 5: Solve for x
    x = 321,502.45/631.94
  6. Step 6: Final answer
    x = 508.76

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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.