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Finding the Fourth Proportional to 472.06, 705.93 and 349.66

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Solution

The fourth proportional to 472.06, 705.93 and 349.66 is: 522.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.06 : 705.93 = 349.66 : x
  2. Step 2: Convert to fraction form
    472.06/705.93 = 349.66/x
  3. Step 3: Cross multiply
    472.06x = 705.93 × 349.66
  4. Step 4: Simplify right side
    472.06x = 246,835.48
  5. Step 5: Solve for x
    x = 246,835.48/472.06
  6. Step 6: Final answer
    x = 522.89

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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.