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Finding the Fourth Proportional to 452.79, 678.42 and 290.39

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Solution

The fourth proportional to 452.79, 678.42 and 290.39 is: 435.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.79 : 678.42 = 290.39 : x
  2. Step 2: Convert to fraction form
    452.79/678.42 = 290.39/x
  3. Step 3: Cross multiply
    452.79x = 678.42 × 290.39
  4. Step 4: Simplify right side
    452.79x = 197,002.99
  5. Step 5: Solve for x
    x = 197,002.99/452.79
  6. Step 6: Final answer
    x = 435.09

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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.