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Finding the Fourth Proportional to 453.60, 678.78 and 309.42

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Solution

The fourth proportional to 453.60, 678.78 and 309.42 is: 463.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.60 : 678.78 = 309.42 : x
  2. Step 2: Convert to fraction form
    453.60/678.78 = 309.42/x
  3. Step 3: Cross multiply
    453.60x = 678.78 × 309.42
  4. Step 4: Simplify right side
    453.60x = 210,028.11
  5. Step 5: Solve for x
    x = 210,028.11/453.60
  6. Step 6: Final answer
    x = 463.02

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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.