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Finding the Fourth Proportional to 452.59, 678.75 and 127.99

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Solution

The fourth proportional to 452.59, 678.75 and 127.99 is: 191.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.59 : 678.75 = 127.99 : x
  2. Step 2: Convert to fraction form
    452.59/678.75 = 127.99/x
  3. Step 3: Cross multiply
    452.59x = 678.75 × 127.99
  4. Step 4: Simplify right side
    452.59x = 86,873.21
  5. Step 5: Solve for x
    x = 86,873.21/452.59
  6. Step 6: Final answer
    x = 191.95

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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.