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Finding the Fourth Proportional to 457.04, 630.06 and 325.82

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Solution

The fourth proportional to 457.04, 630.06 and 325.82 is: 449.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.04 : 630.06 = 325.82 : x
  2. Step 2: Convert to fraction form
    457.04/630.06 = 325.82/x
  3. Step 3: Cross multiply
    457.04x = 630.06 × 325.82
  4. Step 4: Simplify right side
    457.04x = 205,286.15
  5. Step 5: Solve for x
    x = 205,286.15/457.04
  6. Step 6: Final answer
    x = 449.16

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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.