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Finding the Fourth Proportional to 470.00, 703.89 and 274.51

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Solution

The fourth proportional to 470.00, 703.89 and 274.51 is: 411.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.00 : 703.89 = 274.51 : x
  2. Step 2: Convert to fraction form
    470.00/703.89 = 274.51/x
  3. Step 3: Cross multiply
    470.00x = 703.89 × 274.51
  4. Step 4: Simplify right side
    470.00x = 193,227.70
  5. Step 5: Solve for x
    x = 193,227.70/470.00
  6. Step 6: Final answer
    x = 411.12

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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.