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Finding the Fourth Proportional to 462.72, 633.96 and 456.64

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Solution

The fourth proportional to 462.72, 633.96 and 456.64 is: 625.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.72 : 633.96 = 456.64 : x
  2. Step 2: Convert to fraction form
    462.72/633.96 = 456.64/x
  3. Step 3: Cross multiply
    462.72x = 633.96 × 456.64
  4. Step 4: Simplify right side
    462.72x = 289,491.49
  5. Step 5: Solve for x
    x = 289,491.49/462.72
  6. Step 6: Final answer
    x = 625.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.