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Finding the Fourth Proportional to 472.85, 652.49 and 438.02

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Solution

The fourth proportional to 472.85, 652.49 and 438.02 is: 604.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.85 : 652.49 = 438.02 : x
  2. Step 2: Convert to fraction form
    472.85/652.49 = 438.02/x
  3. Step 3: Cross multiply
    472.85x = 652.49 × 438.02
  4. Step 4: Simplify right side
    472.85x = 285,801.48
  5. Step 5: Solve for x
    x = 285,801.48/472.85
  6. Step 6: Final answer
    x = 604.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.