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Finding the Fourth Proportional to 472.25, 654.47 and 465.65

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Solution

The fourth proportional to 472.25, 654.47 and 465.65 is: 645.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.25 : 654.47 = 465.65 : x
  2. Step 2: Convert to fraction form
    472.25/654.47 = 465.65/x
  3. Step 3: Cross multiply
    472.25x = 654.47 × 465.65
  4. Step 4: Simplify right side
    472.25x = 304,748.35
  5. Step 5: Solve for x
    x = 304,748.35/472.25
  6. Step 6: Final answer
    x = 645.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.