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Finding the Fourth Proportional to 631.86, 947.00 and 449.30

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Solution

The fourth proportional to 631.86, 947.00 and 449.30 is: 673.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.86 : 947.00 = 449.30 : x
  2. Step 2: Convert to fraction form
    631.86/947.00 = 449.30/x
  3. Step 3: Cross multiply
    631.86x = 947.00 × 449.30
  4. Step 4: Simplify right side
    631.86x = 425,480.12
  5. Step 5: Solve for x
    x = 425,480.12/631.86
  6. Step 6: Final answer
    x = 673.38

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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.