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Finding the Fourth Proportional to 472.50, 706.26 and 426.15

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Solution

The fourth proportional to 472.50, 706.26 and 426.15 is: 636.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.50 : 706.26 = 426.15 : x
  2. Step 2: Convert to fraction form
    472.50/706.26 = 426.15/x
  3. Step 3: Cross multiply
    472.50x = 706.26 × 426.15
  4. Step 4: Simplify right side
    472.50x = 300,972.70
  5. Step 5: Solve for x
    x = 300,972.70/472.50
  6. Step 6: Final answer
    x = 636.98

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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.