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Finding the Fourth Proportional to 631.08, 945.64 and 424.88

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Solution

The fourth proportional to 631.08, 945.64 and 424.88 is: 636.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.08 : 945.64 = 424.88 : x
  2. Step 2: Convert to fraction form
    631.08/945.64 = 424.88/x
  3. Step 3: Cross multiply
    631.08x = 945.64 × 424.88
  4. Step 4: Simplify right side
    631.08x = 401,783.52
  5. Step 5: Solve for x
    x = 401,783.52/631.08
  6. Step 6: Final answer
    x = 636.66

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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.