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Finding the Fourth Proportional to 537.84, 802.31 and 472.23

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Solution

The fourth proportional to 537.84, 802.31 and 472.23 is: 704.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.84 : 802.31 = 472.23 : x
  2. Step 2: Convert to fraction form
    537.84/802.31 = 472.23/x
  3. Step 3: Cross multiply
    537.84x = 802.31 × 472.23
  4. Step 4: Simplify right side
    537.84x = 378,872.49
  5. Step 5: Solve for x
    x = 378,872.49/537.84
  6. Step 6: Final answer
    x = 704.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.