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Finding the Fourth Proportional to 472.54, 705.50 and 426.46

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Solution

The fourth proportional to 472.54, 705.50 and 426.46 is: 636.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.54 : 705.50 = 426.46 : x
  2. Step 2: Convert to fraction form
    472.54/705.50 = 426.46/x
  3. Step 3: Cross multiply
    472.54x = 705.50 × 426.46
  4. Step 4: Simplify right side
    472.54x = 300,867.53
  5. Step 5: Solve for x
    x = 300,867.53/472.54
  6. Step 6: Final answer
    x = 636.70

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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.