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Finding the Fourth Proportional to 472.84, 707.89 and 427.28

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Solution

The fourth proportional to 472.84, 707.89 and 427.28 is: 639.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.84 : 707.89 = 427.28 : x
  2. Step 2: Convert to fraction form
    472.84/707.89 = 427.28/x
  3. Step 3: Cross multiply
    472.84x = 707.89 × 427.28
  4. Step 4: Simplify right side
    472.84x = 302,463.43
  5. Step 5: Solve for x
    x = 302,463.43/472.84
  6. Step 6: Final answer
    x = 639.68

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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.