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Finding the Fourth Proportional to 453.68, 680.86 and 314.78

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Solution

The fourth proportional to 453.68, 680.86 and 314.78 is: 472.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.68 : 680.86 = 314.78 : x
  2. Step 2: Convert to fraction form
    453.68/680.86 = 314.78/x
  3. Step 3: Cross multiply
    453.68x = 680.86 × 314.78
  4. Step 4: Simplify right side
    453.68x = 214,316.13
  5. Step 5: Solve for x
    x = 214,316.13/453.68
  6. Step 6: Final answer
    x = 472.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.