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Finding the Fourth Proportional to 453.43, 678.72 and 291.23

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Solution

The fourth proportional to 453.43, 678.72 and 291.23 is: 435.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.43 : 678.72 = 291.23 : x
  2. Step 2: Convert to fraction form
    453.43/678.72 = 291.23/x
  3. Step 3: Cross multiply
    453.43x = 678.72 × 291.23
  4. Step 4: Simplify right side
    453.43x = 197,660.23
  5. Step 5: Solve for x
    x = 197,660.23/453.43
  6. Step 6: Final answer
    x = 435.92

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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.