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Finding the Fourth Proportional to 470.24, 705.82 and 287.99

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Solution

The fourth proportional to 470.24, 705.82 and 287.99 is: 432.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.24 : 705.82 = 287.99 : x
  2. Step 2: Convert to fraction form
    470.24/705.82 = 287.99/x
  3. Step 3: Cross multiply
    470.24x = 705.82 × 287.99
  4. Step 4: Simplify right side
    470.24x = 203,268.38
  5. Step 5: Solve for x
    x = 203,268.38/470.24
  6. Step 6: Final answer
    x = 432.27

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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.