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Finding the Fourth Proportional to 472.82, 709.07 and 289.66

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Solution

The fourth proportional to 472.82, 709.07 and 289.66 is: 434.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.82 : 709.07 = 289.66 : x
  2. Step 2: Convert to fraction form
    472.82/709.07 = 289.66/x
  3. Step 3: Cross multiply
    472.82x = 709.07 × 289.66
  4. Step 4: Simplify right side
    472.82x = 205,390.72
  5. Step 5: Solve for x
    x = 205,390.72/472.82
  6. Step 6: Final answer
    x = 434.39

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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.