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Finding the Fourth Proportional to 472.98, 707.36 and 369.06

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Solution

The fourth proportional to 472.98, 707.36 and 369.06 is: 551.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.98 : 707.36 = 369.06 : x
  2. Step 2: Convert to fraction form
    472.98/707.36 = 369.06/x
  3. Step 3: Cross multiply
    472.98x = 707.36 × 369.06
  4. Step 4: Simplify right side
    472.98x = 261,058.28
  5. Step 5: Solve for x
    x = 261,058.28/472.98
  6. Step 6: Final answer
    x = 551.94

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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.