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Finding the Fourth Proportional to 456.63, 630.14 and 325.86

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Solution

The fourth proportional to 456.63, 630.14 and 325.86 is: 449.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.63 : 630.14 = 325.86 : x
  2. Step 2: Convert to fraction form
    456.63/630.14 = 325.86/x
  3. Step 3: Cross multiply
    456.63x = 630.14 × 325.86
  4. Step 4: Simplify right side
    456.63x = 205,337.42
  5. Step 5: Solve for x
    x = 205,337.42/456.63
  6. Step 6: Final answer
    x = 449.68

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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.