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Finding the Fourth Proportional to 457.12, 630.44 and 333.20

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Solution

The fourth proportional to 457.12, 630.44 and 333.20 is: 459.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.12 : 630.44 = 333.20 : x
  2. Step 2: Convert to fraction form
    457.12/630.44 = 333.20/x
  3. Step 3: Cross multiply
    457.12x = 630.44 × 333.20
  4. Step 4: Simplify right side
    457.12x = 210,062.61
  5. Step 5: Solve for x
    x = 210,062.61/457.12
  6. Step 6: Final answer
    x = 459.53

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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.