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Finding the Fourth Proportional to 457.57, 630.94 and 352.42

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Solution

The fourth proportional to 457.57, 630.94 and 352.42 is: 485.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.57 : 630.94 = 352.42 : x
  2. Step 2: Convert to fraction form
    457.57/630.94 = 352.42/x
  3. Step 3: Cross multiply
    457.57x = 630.94 × 352.42
  4. Step 4: Simplify right side
    457.57x = 222,354.11
  5. Step 5: Solve for x
    x = 222,354.11/457.57
  6. Step 6: Final answer
    x = 485.95

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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.