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Finding the Fourth Proportional to 456.62, 630.33 and 316.94

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Solution

The fourth proportional to 456.62, 630.33 and 316.94 is: 437.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.62 : 630.33 = 316.94 : x
  2. Step 2: Convert to fraction form
    456.62/630.33 = 316.94/x
  3. Step 3: Cross multiply
    456.62x = 630.33 × 316.94
  4. Step 4: Simplify right side
    456.62x = 199,776.79
  5. Step 5: Solve for x
    x = 199,776.79/456.62
  6. Step 6: Final answer
    x = 437.51

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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.