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Finding the Fourth Proportional to 472.24, 708.82 and 289.99

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Solution

The fourth proportional to 472.24, 708.82 and 289.99 is: 435.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.24 : 708.82 = 289.99 : x
  2. Step 2: Convert to fraction form
    472.24/708.82 = 289.99/x
  3. Step 3: Cross multiply
    472.24x = 708.82 × 289.99
  4. Step 4: Simplify right side
    472.24x = 205,550.71
  5. Step 5: Solve for x
    x = 205,550.71/472.24
  6. Step 6: Final answer
    x = 435.27

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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.