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Finding the Fourth Proportional to 453.15, 678.67 and 349.61

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Solution

The fourth proportional to 453.15, 678.67 and 349.61 is: 523.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.15 : 678.67 = 349.61 : x
  2. Step 2: Convert to fraction form
    453.15/678.67 = 349.61/x
  3. Step 3: Cross multiply
    453.15x = 678.67 × 349.61
  4. Step 4: Simplify right side
    453.15x = 237,269.82
  5. Step 5: Solve for x
    x = 237,269.82/453.15
  6. Step 6: Final answer
    x = 523.60

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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.